Kinematics Questions and Answers

A massive unknown object is moving at a speed of 55.73 m/s and must be stopped before it wrecks a building. What force should Ironman apply to it in 5 s if it weighs 1280.9 kg?

A 4 kg block is moving at a speed of 2.51 m/s. What is the force required to bring the block to a stop in 0.0006 s?

A massive unknown object is moving at a speed of 52.29 m/s and must be stopped before it wrecks a building. What force should Ironman apply to it in 4 s if it weighs 1428.19 kg?

Two cars are traveling along a straight road. Car (A) maintains a constant speed of 87.0 km/h; car (B) maintains a constant speed of 116 km/h. At t = 0, car (B) is 44.0 km behind car (A). How long does it take before car (A) is overtaken by car (B)?

Instructions: Be sure to present your answers in a clear manner, showing all your work. That is, include equations, show your steps, use proper units, and clearly illustrate your final answer by using 'therefore' statements. Use fully labelled diagrams to help further illustrate your answer when appropriate. 1. You are the finest roller coaster designer in the world, and you come up with the idea of having a roller coaster travel at a top speed of 200 km/h. a. Neglecting air resistance and if it starts at rest at the top, how high do you have to make the first hill to achieve the desired speed (of 200 km/h) at the bottom? b. Now that you have your coaster traveling at such high speeds after the first hill, you decide to make a giant loop. You want to ensure that the train is traveling at least 50 km/h at the top of the loop. How tall can you make you make the loop?

1. Let d(t) = 30f²2 feet continue to be the distance function with respect to time (in seconds) of the car. We are going to compute the average velocity of d over the following smaller and smaller intervals: [3, 3+h], where h = 1, 0.1, 0.01, and 0.001. a. Write an expression for the average velocity from t = 3 to 3 + h. b. Use the simplified expression in part (a) to calculate the AROC where h = 1, 0.1, 0.01 and 0.001.

A car travelling half the distance with constant velocity 30 km/hr and another half with a constant velocity of 50 km/hr along a straight line. The average- velocity of the car in km/hr is A. 42 B. 40 C. 38.7 D. 37.5

How far does the runner whose velocity-time graph is shown in the figure travel in 16 s? The figures vertical scaling is set by Vs = 2 m/s.

▼ What is the kinetic energy of a 1.6 g particle with a speed of 0.70c ? Express your answer with the appropriate units. HA K = Value Submit Request Answer Part B Units ? What is the rest energy of a 1.6 g particle with a speed of 0.70c ? Express your answer with the appropriate units.

Alan shoots a basketball at an angle of 45" from the horizontal. It leaves his hands 6 feet from the ground with a velocity of 28 ft/s. Construct a set of parametric equations describing the shot. Round all final values to the nearest tenth.

A cannon ball is shot from a cannon at a rate of 220 mph at an angle of 20 from the horizontal. The cannon sits on a platform 11 feet above the ground. At what time I will the cannon ball hit the target placed at ground level? Round your answer to the nearest hundredth.

A place-kicker must kick a football from a point 36.0 m (about 40 yards) from the goal. Half the crowd hopes the ball will clear the crossbar, which is 3.05 m high. When kicked, the ball leaves the ground with a speed of 21.2 m/s at an angle of 49.0° to the horizontal. (a) By how much does the ball clear or fall short (vertically) of clearing the crossbar? (Enter a negative answer if it falls short.) (b) Does the ball approach the crossbar (and cross above or beneath it) while still rising or while falling? rising falling

In a drill during basketball practice, a player runs the length of the 30.-meter court and back. The player does this three times in 60. seconds. The average speed of the player during the drill is 1) 0.0 m/s 2) 0.50 m/s 3) 3.0 m/s 4) 30. m/s

A vehicle standing on a horizontal road accelerates for 10 seconds with an acceleration of 3 m/s². After the vehicle moves at a constant speed for 5 seconds, it slows down with acceleration a and stops. If the distance traveled by the car from start to stop is 375 m, what is the acceleration a in m/s²? A) 3 B) 4 C) 5 D) 6 E) 8

As soon as the distance X between the car K and the car L, which is traveling at a constant speed of 30 m/s on the linear road, the stationary car L starts to accelerate in the same direction with an acceleration of 6 m/s^2. Accordingly, what is the maximum distance X must be, in m, so that the K motion can be side by side with the L motion? A) 30 B) 45 C) 60 D) 70 E) 75

Tom the cat is chasing Jerry the mouse across a table surface 0.8 m off the floor Jerry steps out of the way at the last second and Tom slides off the edge of the table at a speed of 5.4 m/s. Where will Tom strike the floor? The ac- celeration of gravity is 9.8 m/s². Answer in units of m. What speed will Tom have just before he hits? Answer in units of m/s.

An imported sports car is being carried by plane. The cargo plane is travelling 50 m/s at an altitude of 262 m. The heavy crate containing the car accidentally slips off the back of the plane when it's directly above your house. How long will it take to fall?

Suzie Sue Sally messes with Texas. She drops a full soda cup out of the car window while travelling down the road at 22 m/s. The vertical distance is 1.30 m. How far, horizontally, from the initial dropping point will the soda hit the ground?

An object is thrown horizontally off a cliff with an initial velocity of 5.0 meters per second. The object strikes the ground 3.0 seconds later. What is the vertical velocity of the object as it reaches the ground?

Isaac is standing on a ladder picking apples in his grandfather's orchard. As he pulls each apple off the tree, he tosses it into a basket that sits on the ground 2.3 m down and 2.8 m away horizontally. How fast must Isaac throw the apples (horizontally) to land them in the basket?

A boat moves through the water with two forces acting on it. One is a 2268 N forward push by the motor on the propeller, and the other is an 2005 N resistive force due to the water around the bow. What is the acceleration of the 1248 kg boat? Answer in units of m/s². If it starts from rest, how far will it move in 16.6 s? Answer in units of m. What will its velocity be at the end of this time interval? Answer in units of m/s.

Two blocks A and B each having mass of 0.32 kg are connected by a light string passing over a smooth pulley as shown in Fig.: The horizontal surface on which the block A slides is smooth. The block A is attached to a spring of force constant 40 N/m whose other end is fixed to a support 0.40 m above the horizontal surface. Initially, when the system is released to move, the spring is vertical and unstretched. Find the velocity of the block A at the instant it breaks off the surface below it. [Take g = 10 m/s²]

9. Consider what happens when you push both a pin and the blunt end of a pen against your skin with the same force. Decide what determines whether your skin is cut net force applied to it or the pressure. Explain.

3. Two displacement vectors have magnitudes of 5.0 m and 7.0 m, respectively. If these two vectors are added together, the magnitude of the sum is equal to 2.0 m. is equal to 8.6 m. could be as small as 2.0 m or as large as 12 m. is equal to 12 m.

A 3.0 kg object moving at 8.0 m/s in the positive direction of an x axis has a one- dimensional elastic collision with an object of mass M, initially at rest. After the collision the object of mass M has a velocity of 6.0 m/s in the positive direction of the axis. What is mass M?

A gust of wind blows an apple from a tree. As the apple falls, the gravita- tional force on the apple is 2.25 N downward, and the force of the wind on the apple is 1.05 N to the right. Find the magnitude and direction of the net force on the apple.

An object is projected horizontally at 400 meters per second. If the object falls freely to the ground in 2.0 seconds, at what height did it begin its fall? (1) 4.9 m (2) 9.8 m (3) 19.6 m (4) 200 m

A ping-pong ball of mass m is floating in air by a jet of water emerging out of a nozzle. If the water strikes the ping-pong ball with a speed v and just after collision water falls dead, the rate of flow of water in the nozzle is equal to :

A body of mass 2kg makes an elastic collision with another body at rest and comes to rest .The mass of the second body which collides with the first body is A. 2kg B. 1.2kg C. 3kg D. 1kg

You stand on top of a 10 m high building and throw a ball upwards with an initial velocity Vo- 0.3 s later you drop a second ball from the building with an initial velocity of 0 m/s. Both balls reach the ground at the same time. What is the initial velocity, Vo, of the first ball that you threw upwards? 1.2 m/s 0 m/s -2.7 m/s 5.1 m/s. 2.7 m/s

Assume that an object is launched upwards from the ground with an initial velocity of vo (units of m/s), the ground is taken as the reference height and t (units of seconds) is the time that elapses after the launch. The displacement can be denoted by r(t) and is given by the following equation, x(t) = vot- /gt², where g = 9.81 m/s² is the constant acceleration due to gravity. a) [1 Point] Find the average velocity of the object over the interval [t, t + h]. b) [1 Point] Find the instantaneous velocity of the object at time t. c) [1 Point] What is the velocity on return to the Earth? d) [1 Point] What must you pick for the initial velocity for the object to return to the Earth after one second? e) [1 Point] Show that the object has a constant acceleration. f) [1 Point] If the jerk is defined as the derivative of the acceleration, what is the jerk of the object?

You travel northeast (i.e. 45°) at 2.0 m/s for 10 s. Then you travel southeast (i.e, -45°) at the same speed for 20 s. What is your position relative to your starting point? -421-14j 42i-7.1j 42i +42j 421-14j -14i + 14j

A boat heads west across a 63-m wide river with a velocity of 2.5 m/s with respect to the water. The water moves 1.6 m/s south with respect to the shore. Determine the 1. Velocity of the boat with respect to the shore 2. Time to cross the river 3. Distance the boat travels downstream

A rational roadway bridge over a canal is in the form of an arc of a circle of radius 49 m. What is the maximum speed with which a car can move without leaving the ground at the highest point? (take g = 9.8m/s² )

You are driving up a long inclined road. After 2.7 km you notice that signs along the roadside indicate that your elevation has increased by 170 m. (a) What is the angle of the road above the horizontal? (b) How far do you have to drive to gain an additional 45 m of elevation?

3. A Royal Caribbean Cruise Ship travels 14 miles on a bearing of 21°, and then it turns and travels on a bearing of 111° for 20 miles. How far is the ship from its starting point? What is its bearing from its starting point?

A boat moves through the water with two forces acting on it. One is a 2497 N forward push by the motor on the propeller, and the other is an 2301 N resistive force due to the water around the bow. What is the acceleration of the 1272 kg boat? Answer in units of m/s². part 2 of 3 If it starts from rest, how far will it move in 16.7 s? Answer in units of m. part 3 of 3 What will its velocity be at the end of this time interval? Answer in units of m/s.

Starting from rest, a ball of mass 6 kg experiences a constant force of 24 N. What is the final kinetic energy (in J) of the ball after it has traveled a distance of 18 m? Tries 0/2

Tiana's school is 6 miles west of her house and 6 miles south of her friend Haley's house. Every day, Tiana bicycles from her house to her school. After school, she bicycles from her school to Haley's house. Before dinner, she bicycles home on a bike path that goes straight from Haley's house to her own house. How far does Tiana bicycle each day? If necessary, round to the nearest tenth. miles

An electron and a proton start from rest and from the same point in a uniform electric field of 360.5 N/C. How far apart are they 3.16 us after they are released? Ignore the attraction between the electron and the proton. Consider the experiment performed with the proton only, then repeat with the electron only. The mass of an electron is 9.109 x 10-31 kg and the fundamental charge is 1.602 x 10-¹⁹ C.

King George Coast in Antarctica is the windiest place on Earth, with wind speeds of 300km/h. If a research plane flies into the head wind at 450km/h: a. How fast is the plane going relative to the ground? b. How long would it take to reach the next research station 250km away? pintaining a consta

3. A grappling hook is fired from a canon at 47m/s at an angle of 63°. If it enters a window at the top of its trajectory of a building that is 23m away, a. How long was the hook in the air? b. How high up is the window? 67° at a rate of 85m/s. Ifhain

A ball is thrown horizontally from a 12 m-high building with a speed of 9.0 m/s For the steps and strategies involved in solving a similar problem, you may view a Video Tutor Solution. How far from the base of the building does the ball hit the ground? Express your answer in meters.

One of the first scales to estimate wind speeds and the effects was created by Britain's Admiral Sir Francis Beaufort (1774- 1857). He developed the scale in 1805 to help sailors estimate the winds via visual observations. The scale starts with 0 and goes to a force of 12. The Beaufort numbers B, can be modeled by B = 1.69√8 +4.45 3.49 where s is the speed of the wind in miles-per- hour. Find the wind speed that corresponds to the Beaufort number B = 11. Round your solution to the nearest whole number.

Suppose an empty grocery cart rolls downhill in a parking lot. The cart undergoes a constant increase in speed of 1.0 m/s over a 5 s interval. If the downhill force acting on the cart is 18.0 N and the uphill force due to friction is 15.0 N, what is the cart's mass?

One strategy in a snowball fight is to throw a snowball at a high angle over level ground. While your opponent is watching this first snowball, you throw a second snowball at a low angle and time it to arrive at the same time as the first. Assume both snowballs are thrown with the same initial speed 29.1 m/s. The first snowball is thrown at an angle of 66° above the horizontal. At what angle should you throw the second snowball to make it hit the same point as the first? Note the starting and ending heights are the same. The acceleration of gravity is 9.8 m/s².

A shopper walks westward 5.4 meters and then eastward 7.8 meters. For this motion, what is the distance moved? Distance (m) = What is the magnitude and direction of the displacement? Magnitude (m) = Dir'n = (Tap field to change.)

The train took 2 h 30 min to travel 3/5 of a journey at an average speed of 96 km/h. If the train would complete the journey in 4.1 h, what is the train's average speed for the remaining journey?

A roller coaster car rapidly picks up speed as it rolls down a slope. As it starts down the slope, its speed is 4 m/s. But 4 seconds later, at the bottom of the slope, its speed is 24 m/s. What is its average acceleration?

A jet airplane travelling at the speed of 500 km h-¹ ejects its products of combustion at the speed of 1500 km h-¹ relative to the jet plane. What is the speed of the latter with respect to an observer on the ground?