Kinematics Questions and Answers

A fish with a mass of 5 kg is swimming at 1 m/s when it swallows up a fish of 1 kg. Once the fish is caught they both come to rest. The speed of the 1- kg fish right before it was caught was m/s.

A mouse is eating cheese 3.25 meters from a sleeping cat. When the cat wakes up, the mouse immediately starts running away from the cat with a constant velocity of 1.75 m/s. The cat immediately starts chasing the mouse with a constant velocity of 4.29 m/s. Assume the cat and the mouse start running instantaneously so there are no accelerations to worry about. How many seconds after they begin running does the catch the mouse? How far does the cat have to run to catch the mouse?

A plane flies 110 miles per hour for 1 hour on a bearing of 040°. From that point, it then turns and flies at the same speed on a bearing of 150° for 1.5 hours. How far is the plane from its starting point?

A stick of length 0.85 m can rotate through an axis through the stick's midpoint, and the moment of inertia of the stick is I=ML²/12. A torque of 0.48 N*m is applied to the stick, and the resultant angular acceleration of the stick is 1.18 rad/sec². What is the mass (kg) of the stick?

A 0.15 kg ball of Play-Doh is hanging from a string attached to the ceiling to that it can swing like a pendulum. A person throws a second 0.25 kg ball of Play-Doh with a velocity of 13 m/s at the swinging ball so that it impacts with and sticks to the swinging ball at the moment it swinging back towards the thrower with a velocity of 2.2 m/s. What is the velocity of the two Play-Doh balls once they are stuck together?

A particle thrown up vertically reaches its highest point in time t, and returns to the ground in a further time t₂. The air resistance exerts a constant force on the particle opposite to its direction of motion. Then (a) t₁ > t₂ (b) t₁ = t₂ (c) t₁ <t₂ (d) may be (a) or (c) depending on the ratio of the force of air resistance to the weight of the particle.

A body starts from rest and is uniformly accelerated for 30 s. The distance travelled in the first 10 s is X₁, next 10 s is x2 and the last 10 s is x3. Then X₁ X₂ X3 is the same as:- (A) 1: 2:4 (B) 1 : 2:5 (C) 1 : 3:5 (D) 1: 3: 9

A baseball player leads off the game and hits a long home run. The ball leaves the bat at a height of 4ft above the ground and an angle of 32º from the horizontal with a velocity of 131ft/s. Write a set of parametric equations that model the scenario.

A, B, C and D are points in a vertical line such that AB = BC = CD. If a body falls from rest from A, then the times of descend through AB, BC and CD are in the ratio :- (A) 1 : √2 : √3 (B) √2 : √3 : 1 (C) √3:1: √2 (D) 1: (√2-1): (√3 - √2)

The velocity of a particle moving along x-axis is given as v = x² - 5x + 4 (in m/s) where x denotes the x-coordinate of the particle in metres. Find the magnitude of acceleration of the particle when the velocity of particle is zero ? (A) 0 m/s2 (B) 2 m/s2 (C) 3 m/s² (D) None of these

Eddy throws a water balloon straight down from a window 25 meters above a sidewalk at his friend Bob with an initial velocity of 5m/s. If the water balloon take 1.6s to strike Bob, how fast is it travelling at impact? (V2-V1+gt) *

Obiora's walk is traced by a GPS map: she walks 25.0 m in a direction of 45.0° below horizontal to reach point A. She continues at point A and walks 40.0 m in a direction of 60.0° above horizontal to reach point B. (a) On a 2D coordinate system, draw the resultant vector d as Obiora's total displacement as she reaches point B. (b) Find the vector component form of the vector d. NOTE: d = (dx, dy). What is dx and dy?) (c) Find the magnitude and direction of the vector d.

Two motor cars have their wind screens at θ₁ = 15° and θ₂ = 30° respectively. While moving in a hailstorm the drivers see the hailstones bounced by the wind screen of their cars in the vertical direction. What is the ratio V1/ V2 of the velocities of the cars ? Assume the hailstorms fall vertically.

A baseball player throws a 0.155 kg baseball straight up into the air with an initial speed of 35 m/s. Find the (a) maximum height to which the ball rises. (b) the speed of the ball when it is halfway up to its maximum height.

Read each question carefully, Show all your work for each part of the question. The parts within the question may not have equal weight. A 250.0 g snowball of radius 4.00 cm starts from rest at the top of the peak of a roof and rolls down a section angled at 30.0 degrees to the horizontal. It then reaches a flat section of roof that is 2.00m lower than the peak and is partially covered in snow, as shown above. (a) On the dot below, which represents the snowball, draw and label the forces (not components) that act on the snowball. Each force must be represented by a distinct arrow starting on, and pointing away from, the dot. The force must start at the point on which it is exerted on the snowball. The dashed line represents the roof. (b) Which of the forces shown in part (a) produces a torque on the snowball as it rolls about its center? (c) Calculate the linear acceleration of the snowball as it rolls down the inclined section of the roof. (d) Using conservation of energy, calculate the angular speed of the snowball as it reaches the end of the inclined section of the roof. (e) A second snowball with the same radius that is packed so that it is more dense than the original rolls down the same roof. Will the angular speed at the end of the incline for the new snowball be greater than, less than, or Equal to the original snowball? Increase Decrease Stay the same.

A boat was traveling at 15 mph when a passenger threw an object at 10 mph in the same direction the boat was moving. A friend, standing on the shore, observed the object moving with a speed of 25 mph. The passenger observed the object moving with a speed of 10 mph. Why were the two observations different? A. The passenger and the friend were watching the object from two different frames of reference. B. The distance between the boat and the shore gave the friend a different viewing angle. C. The current of the river affects the speed of the boat relative to shore. D. Objects appear to move more slowly when they move away from the observer.

A cinder block is sitting on a platform 20 m high. It weighs 79 kg. The block has what type of energy AND which equation would you use to calculate it? Kinetic Energy Equation: KE= 1/2mv² Potential Energy Equation: PE = 1/2mv² Potential Energy Equation: PE = mgh Kinetic Energy Equation: KE = mgh

The age of a rock sample at one location is 8.64 million years old and the age of a rock sample at the other location is 6.25 million years old. One location is 87.4km farther from the mid-ocean ridge than the other. What is the speed at which the plate is moving between the two locations?

An elevator is accelerating upward 3.5 m/s² and has a mass of 300 kg. The force of gravity is 2.900 N. What the tension force pulling the elevator ?

In the arrangement shown block A and C are of mass 2 kg and B is of unknown mass. When released, A moves downward by 0.5 m and C moves towards pulley by 0.5 m. Velocity of A after the displacement given is (friction is absent) √2m/s √3m/s √4m/s √5m/s

A particle is projected from the origin in a uniform gravitational field. When particle is at a point P (10, 20) its velocity is (î -ĵ ) Assuming horizontal as x and vertically upward as y-axis. Then choose the CORRECT statement : Distance of the particle decreases from the origin with time after the given instant. Distance of the particle increases from the origin with time after the given instant. Speed of the particle decreases with time after the given instant. Speed of the particle remains constant time after the given instant.

An 83.33 kg crate is placed on a level surface. An applied force of 500 N at 36.9° above the horizontal moves the block at constant speed across the floor. Find the normal force, force of friction and the coefficient of friction.

On a distant planet a physics student drops a ball from a height of 0.673 m. At the instant the ball hits the ground it has a velocity of 2.60 m/s. What is the value of g on this planet? Assume the ball starts from rest. Remember that g is the magnitude of the freefall acceleration. Express your answer in m/s² to 3 significant units.

What force is required to speed up a 1,216 kg car from a speed of 6.5 m/s to a speed of 23.2 m/s in 4.0s?

A 0.776 kg rock is dropped, from rest, off of a bridge to fall in the water below (disregard air resistance). Right as it hits the water, it has a momentum of 6.5 kg.m/s. How long was it falling for?

Two forces acting on an object are 91 pounds N 45 E and 180 pounds S 36 E. Find the magnitude of the resultant vector. Round to the nearest tenth of a pound. 193.5 pounds 188.6 pounds 197.2 pounds 271.0 pounds

(a) Find the magnitude of the gravitational force (in N) between a planet with mass 6.75*10²⁴ kg and its moon, with mass 2.35*10²² kg, if the average distance between their centers is 2.30*10⁸ m. (b) What is the moon's acceleration (in m/s²) toward the planet? (Enter the magnitude.) (c) What is the planet's acceleration (in m/s²) toward the moon? (Enter the magnitude.)

A stone is thrown straight up from the edge of a roof, 825 feet above the ground, at a speed of 18 feet per second. (A) Remembering that the acceleration due to gravity is -32 feet per second squared, how high is the stone 5 seconds later? (B) At what time does the stone hit the ground? (C) What is the velocity of the stone when it hits the ground?

A golfer stands 450 ft horizontally from the hole and 50 ft above the hole, as shown. If the ball is struck and leaves the ground at an initial angle of 30° with the horizontal, then with what initial speed should it be hit to land in the hole? The ball should be hit with an initial speed of ___ ft/sec. (Do not round until the final answer. Then round to the nearest tenth as needed.)

A 53.1 kg astronaut on a spacewalk is floating 34.9 m away from the spaceship when the tether breaks leaving the astronaut stranded. Luckily the astronaut has a 14.9 kg oxygen tank that they can throw away from the ship to gain momentum in the opposite direction. If the astronaut throws the oxygen tank with a speed of 1.0m/s away from the spaceship, how long does it take the astronaut to make it to the spaceship?

A 3 kg rock rests on the ice. You kick it, briefly exerting a 60 N force. Find the rock's acceleration, assuming that there is no friction. Still assuming no friction, what will be the rock's acceleration after your foot is no longer in contact with the rock? Will the rock have a (nonzero) velocity at this time? In the preceding question, assume now that a frictional force of 6N acts on the rock whenever it is moving across the ice. Find the net force on the rock and the rock's acceleration. What can you say about the net force on the rock after your foot is no longer in contact with it?

A small rocket is launched from five meters below ground level and reaches a height of 3 meters above the ground after 4 seconds. On the way down it is 3 meters above the ground after 8 seconds (A) What are three data points that can represent this situation? (B) Sketch a graph of the height of the rocket over time. (C) Model the data with a quadratic function. (D) When will the rocket hit the ground? (E) What is an appropriate domain for this situation? (F) When is the locket below ground?

Suppose a hiker, standing near the edge of a 290 meter tall cliff, throws a rock downward vertically off the cliff at a speed of 62 meters per second. Determine the velocity and acceleration of the rock at the moment the rock impacts the ground. Round solutions to the nearest thousandth, if necessary. The rocks's velocity at the point of impact is The rocks's acceleration at the point of impact is

A scientist is running an experiment to test the law of conservation of linear momentum. In their setup, they choose to use one object of mass m moving with a known speed vO. This collides with a resting object with a mass of 5m. The scientist then records each object's final velocity following the collision. DESCRIBE what the scientist should plot on each axis (HORIZONTAL & VERTICAL) as well as what SHAPE and SLOPE to expect.

A test rocket is launched vertically from ground level (y=0 m), at time r=0.0s. The rocket engine provides constant upward acceleration during the burn phase. the instant of engine burnout, the rocket has risen to 49 m and acquired a velocity of 30 m/s. What is the maximum height that the rocket will reach? 895 103 m 112m 184 m 180m

15. A child riding a bicycle at 25 meters per second accelerates at 3.0 m/s² for 4.0 seconds. What is the child's speed at the end of this 4.0-second interval?

- Thomas is rushing to get to school before the bell rings in 15 minutes. If he drives 350 meters down Avenue Apple at 2.5 m/s, then turns and drives for 5000 meters at 7 m/s for on Main Street, then speeds up to drive the last 1500 meters at 9.9 m/s, how long will it take him to get to school in minutes?

Base your answer to the question on the information given. A 1,000-kilogram car traveling with a velocity of +20 meters per second decelerates uniformly at -5.0 meters per second² until it comes to rest What is the total distance the car travels as it decelerates to rest? A. 10 m B. 20 m C. 40m D. 80m

1. Lucy throws a ball toward Jake, who is standing 50 feet away. It takes the ball 0.5 seconds to reach Jake. Jake then turns to his left, and throws the ball to Mary, who is 100 feet away. It takes the ball 0.75 seconds to reach Mary. What is the ball's average speed when thrown from Lucy to Jake? What about when thrown from Jake to Mary? What is the ball's average velocity over its entire trip?

A motor boat going downstream over came a raft at a point A. T = 60 min later it turned back and after some time passed the raft at a distance l=6km from the point A. Fire the flow relocity assuming the duty of engine to be constant.

A 3.1kg box is at rest at the bottom of a 5.6m long ramp. It is pushed up the ramp with a 10N force and the friction force is 2.3N. If the box is moving at 3.8m/s at the top, what is the height of the ramp?

A ball fired horizontally travels a distance of 4.3 meters and falls a distance of 1.25 m. Calculate the initial velocity. 1.42 m/s 8.51 m/s 1.89 m/s 1.54 m/s

If Allota Gutz has a mass of 65.92kg and he dives off a 14.87m platform into a bucket of water. What is Allota's velocity half the way down from the top?

A Balloon srts rising from the surface of earth. the ascending rate is Constant and equal to No. due to wind the balloon gathers the horizontal velocity Component Ux=ay, where a is constant and y is the height of ancent. find (a) horizontal drift of balloon

Find the magnitude of the force delivered to a soccer ball when a player kicks it. The soccer ball experiences an impulse of 6 kg m/s. Assume that the player's foot is in contact with the ball for 0.5 s.

Directions: Follow the instructions to go through the simulation. Respond to the questions and prompts in the orange boxes. Prior Knowledge Questions (Do these BEFORE using the Gizmo.) Max ran 50 meters in 10 seconds. Molly ran 30 meters in 5 seconds. 1. Who ran farther, Max or Molly? 2. Who ran faster? Explain:

A thief in a stolen car passes through a police check post at his top speed of 90 kmh ¹. A motorcycle cop, reacting after 2 s, accelerates from rest at 5 ms 2. His top speed being 108 kmh. Find the maximum separation between policemen and thief. (a) 112.5 m (b) 115 m (c) 116.5 m (d) None of these

An object, initially moving at v0 starts accelerating and reaches the speed of 20m/s along the distance of 150 m. Then it slows down with the same magnitude of acceleration to the same speed v0 in 5 seconds. Find acceleration and v0.

A projectile is shot from the edge of a cliff 115 m above ground level with an initial speed of 65.0 m/s at an angle of 35.0° with the horizontal, as shown in Fig. 3-51. (a) Deter-mine the time taken by the projectile to hit point P at ground level. (b) Determine the distance X of point P from the base of the vertical cliff. At the instant just before the projectile hits point P, find (c) the horizontal and the vertical components of its velocity, (d) the magnitude of the velocity, and (e) the angle made by the velocity vector with the horizontal. (f) Find the maximum height above the cliff top reached by the projectile.

Two fun-loving otters are sliding toward each other on a muddy (and hence frictionless) horizontal surface. One of them, of mass 7.50 kg, is sliding to the left at 5.00 m/s, while the other, of mass 5.75 kg, is slipping to the right at 6.00 m/s. They hold fast to each other after they collide. Find the velocity of these otters right after they collide. 0.23 m/s -0.23 m/s 1.2 m/s -1.2 m/s 98 m/s -98 m/s