Kinematics Questions and Answers

How long will it take an object to reach its maximum height if its initial vertical velocity is +28.28 m/s? Use g=-10 m/s^2 the time to reach maximum height is 1.414 seconds the time to reach maximum height is 0.707 seconds the time to reach maximum height is 2.828 seconds the time to reach maximum height is 5.657 seconds

An airplane is flying at a speed of 2.00 × 102 m/s in level flight at an altitude of 8.00 × 102 m. A package is to be dropped from the airplane to land on a target on the ground. Ignore air resistance. At what horizontal distance away from the target should the package be released so that it lands on the target? In what direction relative to the horizontal will the package be traveling when it hits the ground?

So in solving for 2-Dimensional motion such as projectile motion, we use the triangle method to separate and then follow the kinematics equations. the x and y components the vectors and the scalars the positive and negative values the magnitudes and directions

Suppose that an object is moving with constant nonzero acceleration. Which of the following is an accurate statement concerning its motion? A graph of its velocity as a function of time is a horizontal line. A graph of its position as a function of time has a constant slope. In equal times it moves equal distances. In equal times its velocity changes by equal amounts. In equal times its speed changes by equal amounts.

Alice and Tom dive from an overhang into the lake below. Tom simply drops straight down from the edge, but Alice takes a running start and jumps with an initial horizontal velocity of 25 m/s. Neither person experiences any significant air resistance. Just as they reach the lake below, the speed of Tom will always be 9.8 m/s larger than that of Alice. the speed of Alice is larger than that of Tom. they will both have the same speed. the splashdown speed of Alice is larger than that of Tom. the speed of Alice will always be 25 m/s larger than that of Tom.

Which kinematic equation would you use to find the velocity of a skydiver 2.0s after she jumps from a plane and before she opens her parachute? Assume the positive direction is downward. A. V = V0 + at B. V = V0 - at C. V² =V²0 + at D. V² =V²0 - at

An object is fired vertically upward with an initial velocity v(0) = vo from an initial position s(0)=so. Answer parts a and b below. a. For vo = 68.6 m/s and so = 25 m, find the position and velocity functions for all times at which the object is above the ground. The velocity function is v(t) = The position function is s(t)= b. Find the time at which the highest point of the trajectory is reached and the height of the object at that time. The time at which the highest point of the trajectory is reached is at The height of the object at the highest point of the trajectory is

Harry accidentally falls out of a helicopter that is traveling horizontally at 84 m/s. He plunges into a swimming pool 1.9 seconds later. Assuming air resistance is negligible, what was the horizontal distance between Harry and the swimming pool when he fell?

An object starts rest at x=0 m and moves that constant acceleration of 2 2m/s² along the x axis .During journey from X=4 m to x=16 m, its average velocity is: 6 m/s 10 m/s 4 m/s 2 m/s

Two bodies were thrown simultaneously from the same point, one straight up, and the other at angle of 0 = 30° to the horizontal. The initial velocity of each body is 20 ms-¹. Neglecting air resistance, the distance the bodies at t = 1.2 later is 20 m 30 m 24 m 50 m

In the figure below, the net external force on the 22 kg mower is given as 50 N. If the force of friction opposing the motion is 26 N, what force F (in N) is the person exerting on the mower? (Enter the magnitude.) Suppose une mower is moving at 1.5 m/s when the force F is removed. How far (in m) will the mower go before stopping?

Two objects are dropped from a bridge, an interval of 1.0 s apart, and experience no appreciable air resistance. As time progresses, the DIFFERENCE in their speeds remains constant. decreases at first, but then stays constant. increases at first, but then stays constant. decreases. increases.

The maximum height H of an object launched with initial velocity vo at an angle is given by the following formula. Do not round any intermediate computations. Round your answer to the nearest hundredth. rad.

A particle is moving in x-y-plane at 2 m/s along x-axis. 2 seconds later, its velocity is 4 m/s in a direction making 600 with positive x-axis. Its average acceleration for this period of motion is: A. √5m/s², along y-axis B. √3m/s², along y-axis C. √5m/s², along at 60⁰ with positive x-axis D. √3s², along at 600 with positive x-axis

Two identical charged spheres are suspended by string of equal length. The string make an angle of 30° with each other. When suspended in a liquid of density 0.8gcm7 the angle remains the same. If density of the material of the sphere is 1.6gcm the dielectric constant of the liquid is

A uniform board of weight 40 N supports two children weighing 500 N and 350 N, respectively. If the support is at the center of the board and the 500-N child is 1.5 m from the center, what is the position of the 277.8-N child? 2.1 m 1.1 m 2.7m 1.5 m

Two block each of mass 3.0kg, are connected by a light cord and placed on a rough horizontal surface. When a horizontal force of 20N is applied on a block, an acceleration of 0.50ms 2 is produced in each block. Find the tension in the string and the frictional force which is same on the two blocks.

The Achilles tendon is attached to the rear of the foot. When a person elevates himself just barely off the floor on the "ball of one foot," estimate the tension Fr in the Achilles tendon (pulling upward), and the (downward) force Fg exerted by the lower leg bone on the foot. Assume the person has a mass of 72 kg and D is twice as long as d.

Two objects of the same mass are launched from the ground. Object A has a launch angle of 45, while Object B has a launch angle of 65. Which object will hit the ground first? B Both objects hit the ground at the same time unable to determine with the given information A

A baseball is thrown with an initial velocity of 100 m/s at an angle of 30 degrees above the horizontal. a. Draw a diagram and label the given information. b. Organize the given and unknown and include x and y components separately. c. Solve for the initial x and y velocities. d. How far from the throwing point will the baseball attain its original level?

A biker is traveling on level ground at 55.0 m/s with a combined mass of 324.0 kg. She spots a police officer 500 meters up ahead, so she applies the brakes, reducing her speed by half over a period of 16.0 seconds. In meters, how far does she travel during this time period?

On the set of a new Hollywood movie, a 83.2-kg stunt actor (Max Payne) is tossed straight out of a helicopter hovering (stationary) at a height of 51.5 meters. The stunt actor is thrown from the helicopter at a speed of 6.22 m/s, eventually landing in the water below. Determine the stunt actor's impact speed and assume negligible air resistance. You can use the approximation that g = 10 m/s2.

If a ball is thrown straight up into the air with an initial velocity of 45 ft/s, its height in feet after t seconds is given by y = 45t - 16t². Find the average velocity for the time period begining when t = 1 and lasting (i) 0.1 seconds (ii) 0.01 seconds (iii) 0.001 seconds Finally based on the above results, guess what the instantaneous velocity of the ball is when t = 1.

A ball is thrown from the top of one building toward a tall building 50 m away. The initial velocity of the ball is 20 m/s ----40 degrees above horizontal. a. Draw a diagram and label the given information. b. Determine the initial x-velocity component and y-velocity component. C. How far above or below its original level will the ball strike the opposite wall?

Boxing gloves are padded to lessen the force of a blow. Calculate the force exerted by a boxing glove on an opponent's face, if the glove and face compress 7.17 cm during a blow in which the 7.33-kg arm and glove are brought to rest from an initial speed of 11.7 m/s. Calculate the force exerted by an identical blow in the days when no gloves were used and the knuckles and face would compress only 1.53 cm. What is the absolute magnitude of their difference? Give your answer in newtons with 3 significant figures in scientific notation.

The displacement (in feet) of a certain particle moving in a straight line is given by y = 4. (A) Find the average velocity for the time period beginning when t = 2 and lasting (B) Estimate the instantaneous velocity when t = 2.

A swimmer swims in still water at a speed of 5.01 m/s. He intends to swim directly across a river that has a downstream current of 2.57 m/s. (a) What must the swimmer's direction be? (b) What is the velocity relative to the bank?

For both Tracker experiments, calculate the average vertical acceleration, where the time period is t = 0.10 second to t = 1.00 second. Consider only the magnitude of the vertical velocity in the calculations. Record your results to three significant figures. Comment: How does the average acceleration of the two balls compare to the theoretical value of -9.81 meters/second², and how do the accelerations of the two balls compare to each other?

The two masses in the Atwood's machine shown in the figure are initially at rest at the same height. After they are released, the large mass, m2, falls through a height h and hits the floor, and the small mass, m2, rises through a height h. Evaluate your answer to part A for the case h = 2.0 m, m₁ = 3.4 kg, and m₂ =

A 0.26-kg rock is thrown vertically upward from the top of a cliff that is 32 m high. When it hits the ground at the base of the cliff, the rock has a speed of 33 m/s. You may want to review Find the greatest height of the rock as measured from the base of the cliff. Express your answer using two significant figures.

A rock falls from a building with an initial velocity of 0 m/s. It accelerates through the air and hits the ground with a velocity of 24.5 m/s. It his the ground in 2.45 seconds. What's the acceleration? Height of fall?

A T-shirt is fired from a canon at 49m/s at an angle of 65°. A fan catches it at the top of its trajectory in a seat that is 26m away, how high up is the catch?

A car moving toward North with constant speed takes a left turn toward North-West. What is the direction of the car's acceleration at the mid-point while taking the turn Toward SW Toward NE Toward NNW Toward WSW Toward SSW Toward ENE

An electron (mass 9.11 X 10-31 kg) leaves one end of a TV picture tube with zero initial speed and travels in a straight line to the accelerating grid, which is 1.80 cm away. It reaches the grid with a speed of 3.00 × 106 m/s. If the accelerating force is constant, compute (a) the acceleration; (b) the time to reach the grid; and (c) the net force, in newtons. Ignore the gravitational force on the electron.

Two small rings O and O' are put two vertical stationary rods AB and A'B', respectively. One end of an inextensible thread is tied at point A'. The thread passes through ring O' and its other end is tied to ring O. Assuming that the ring O' moves downwards at a constant velocity V₁ determine the velocity V₂ of the ring when ∠AOO' = α

A football is kicked from the 30-yd line. If it is kicked with a velocity of 48.4 m/s at an angle of 25.0° with the horizontal, does it have the distance to hit the end zone? What is the ball's hang time?

A ball player hits a home run, and the baseball just clears a wall 19.4 m high located 132.0 m from home plate. The ball is hit an an angle of 35° to the horizontal, and air resistance is negligible. Assume the ball is hit at a height of 1.0 m above the ground. (a) What is the initial speed? m/s (b) How much time does it take for the ball to reach the wall? S (c) Find the components of the velocity and the speed of the ball when it reaches the wall m/s m/s

Consider a deer that runs from point A to point B. The distance the deer runs can be greater than the magnitude of its displacement, but the magnitude of the displacement can never be greater than the distance it runs.

A particle of mass m is at rest at the origin at time t = 0. It is subjected to a force F(t) = Foe-bt Foe-bt in the direction. Its speed v(t) is depicted by which of the following curves ?

The maximum speed a 0.22-caliber bullet can travel is 529 m/s. If the rifle is fired 1.50 meters above the ground, how far will it travel horizontally before making contact with the ground? How long is the bullet in the air?

A juggler throws a ball 7 meters into the air. Neglecting air resistance, what is the ball's vertical speed at its maximum height? What is the ball's acceleration at its maximum height? (Hint: G.U.E.S.S.ing is not necessary) A ball is thrown straight up in the air. It reaches a maximum height of 5 meters before coming back down. How long is the ball in the air (what is its hang time)?

If, in the figure, you start from the Bakery, travel to the Cafe, and then to the Art Gallery in 2.00 hours, what is your a. average speed? b. average velocity?

John run towards second base as an outfielder throws the ball to the 2nd Basemen. John sides towards the base hoping to beat the tag. If John has a mass of 60 kg and the coefficient of friction of the sand is 0.4. What is John's acceleration?

A bullet is fired from the ground making an angle of 80 deg with the horizontal with a speed of 1400 m/s. How long it will take to reach its maximum height? (1 point) A. 191.229 s B. 81.233 s C. 125.229 s D. 38.486 s E. 140,687 s

A missile is fired over horizontal ground at an angle of 83.5°. At what point on the trajectory are [(v)\vec] and [(a)\vec] parallel to each other? There is no point where vand a are parallel to each other. At the end of the trajectory. At the beginning of the trajectory. At the top of the trajectory.

A passenger train can travel 240 miles in the same amount of time it takes a freight train to travel 160 miles. If the average velocity of the freight train is 20 miles per hour slower than the average velocity of the passenger train, find the average velocity of each.

3.0 points An artillery shell is fired at an angle of 54.3° above the horizontal ground with an initial speed of 1890 m/s. The acceleration of gravity is 9.8 m/s². Find the total time of flight of the shell, neglecting air resistance. Answer in units of min. 3.0 points Find its horizontal range, neglecting air resis- tance. Answer in units of km.

A person walks 8 m East, 15 m North, 6 m South, 3 m West, and then 3 m East. Find the total x-displacement. Find the total y-displacement. Draw the triangle at the right. Find the total displacement's magnitude and direction.

Which of the following is not a correct statement? (1 point) A. Displacement and distance are not the same. B. The magnitude of the displacement vector of a particle is equal to the length of the hypothenus of a right angled triangle whose base and height are equal to the change in its x and y coordinates respectively. C. The magnitude of a displacement vector is equal to the distance between its initial location and final location. D. The displacement vector of a particle is the vector whose tail is at the final location of the particle and whose head is at the initial location of the particle. E. The x component of the displacement vector of a particle is equal to the change in the x coordinate of the particle.

An artillery shell is fired at an angle of 56.7° above the horizontal ground with an initial speed of 1600 m/s. The acceleration of gravity is 9.8 m/s². Find the total time of flight of the shell, neglecting air resistance.