Kinematics Questions and Answers

Which one of the following objects has an average speed of 20 mi/hour? A. A car moves a distance of 20 miles and is 20 miles from the starting point after 4 hours. B. A car moves a distance of 40 miles and is 20 miles from the starting point after 1 hour. C. A car moves a distance of 40 miles and is 20 miles from the starting point after 2 hours. D. A car moves a distance of 40 miles and changes its velocity by 20 mi/hr after 1 hour.

A cannonball is launched horizontally from the top of a cliff 12.2 meters high, and lands 12.9 meters away from the base of the cliff. What is the horizontal velocity (vx) with which the cannonball was launched? Round your answer to the nearest 0.1. Do not add units.

Automotive engineers refer to the time rate of change of acceleration as the jerk.' Assume an object moves in one dimension such that its jerk j=2+4t. a. Determine the expression for its acceleration b. Determine the expression for its velocity C. Determine the expression for its position.

A biker is traveling on level ground at 51.0 m/s with a combined mass of 341.0 kg. She spots a police officer 500 meters up ahead, so she applies the brakes, reducing her speed by half over a period of 17.0 seconds. In meters, how far does she travel during this time period?

A biker is traveling on level ground at 52.0 m/s with a combined mass of 306.0 kg. She spots a police officer 500 meters up ahead, so she applies the brakes, reducing her speed by half over a period of 15.0 seconds. In meters, how far does she travel during this time period?

A certain airplane has an acceleration of 11.7 m/s². If the airplane starts from rest, how fast will it be moving after 2.6 seconds? Round your answer to the nearest 0.1 (tenths place). Do not add units.

A 30-06 caliber hunting rifle fires a bullet of mass 0.0176 kg with a velocity of 485 m/s to the right. The rifle has a mass of 1.81 kg. What is the recoil speed of the rifle as the bullet leaves the rifle? Answer in units of m/s. If the rifle is stopped by the hunter's shoulder in a distance of 3.78 cm, what is the magnitude of the average force exerted on the shoulder by the rifle? Answer in units of N.

A block of base 10cm x 10cm and height 15cm is kept on an inclined plane. The coefficient of friction between them is √3. The inclination of this inclined plane from the horizontal plane is gradually increased from 0°. Then: A. If θ=30° the block will start sliding down the plane B. the block will remain at rest on the plane up to certain and then it will topple C. at θ = 60°, the block will start sliding down the plane and continue to do so at higher angle D. at θ = 60°, the block will start sliding down the plane and on further increasing, it will topple at certain θ

An airplane is flying forward with a velocity of 223 m/s when it flies into a storm that blows a 23 m/s updraft at a right angle to the direction the plane is flying. a. Draw and label the velocity vector pair described in the problem above AND the resultant velocity vector of the plane as the wind hits it. b. Calculate the MAGNITUDE of the resultant velocity vector of the plane as the wind hits it.

Janet jumps horizontally off a high diving platform with a velocity of 2.61 m/s and lands in the water 1.4 s later. How high is the platform? The acceleration of gravity is 9.8 m/s². Answer in units of m. How far from the base of the platform does she land? Answer in units of m.

Coach Mack is fired out of a cannon with a horizontal velocity of 17 m/s and an initial vertical velocity of 20 m/s a. Draw a picture that shows both the horizontal and vertical velocities of Coach Mack for each second he is in the air. b. How high did Coach Mack reach? c. What was Coach Mack's range? d. Mr. Rose wants to design an experiment that allows Coach Mack to go even further. What are TWO changes that he can make to Coach Mack's cannon setup that would result in a longer range?

During a medieval siege of a castle, the attacking army uses a trebuchet to hurl heavy stones at the castle walls. If the trebuchet launches the stones with a velocity of +48.5 m/s at an angle of 42.0°, how long does it take the stone to hit the ground? For those settings, what is the maximum range? How high will the stones go? Show all your work.

A skier with a mass of 55 kg starts from rest at the top of a 45 m hill and skis down into a valley. Assume you can neglect friction and the effect of the ski poles. How fast is the skier moving at the bottom of the valley?

A bobsled run leading down a hill at Lake Placid descends 148 m from its highest point to its lowest. Suppose that a 350 kg bobsled, initially at rest slides down this run without friction. What speed will the bobsled attain at the lowest point?

A baseball thrown from the outfield is released from shoulder height at an initial velocity of 28.3 m/s at an initial angle of 30.0° with respect to the horizontal. If it is in its trajectory for a total of 4.00 s before being caught by the third baseman at an equal shoulder-height level, what is the ball's net vertical displacement during its 4.00-s trajectory? A. 98.0 m B. 9.80 m C. 10.2 m D. zero E. 20.4 m

The longest escalator in the world is in Hong Kong and has a length of 227m. A 52 kg person rides the escalator from bottom to top and her gravitational potential energy changes by 5.86 x 104 J (58,600 J). What is the height of the escalator?

A cat chases a mouse across a 1.3 m high table. The mouse steps out of the way, and the cat slides off the table and strikes the floor 1.7 m from the edge of the table. What was the cat's speed when it slid off the table? The acceleration of gravity is 9.81 m/s². Answer in units of m/s.

Short Answer 9: Two roommates leave their dorm room at the same time and arrive at the same first class at the same time. One roommate walks to the dining hall and then the class, while the second roommate goes to the library first. Compare the average velocities and speeds of the two roommates. Justify your answer.

A 0.93 kg plastic ball is rolling forward at 0.41 m/s. It collides with a second plastic ball of mass 1.92 kg, also rolling forward at 0.92 m/s. After the collision, both balls continue rolling at different speeds. The 0.93 kg ball is now rolling at 0.62 m/s. What is the new velocity of the 1.92 kg ball? Round your answer to the nearest 0.01. Do not add units. YES, your answer can be negative. YES, you have to include the negative sign. NO, your answer doesn't HAVE to be negative.

A car's brakes decelerate at a rate of -1.5 m/s². a. What is the time required to slow the car from 35 m/s to 15 m/s? b. How will the rate of deceleration impact the distance travelled by the car?

A racecar reaches a speed of 95 m/s after it is 450 meters past the starting line. If the car travels at a constant speed of 95 m/s for the next 12.5 s, how far will the car be from the starting line? Use the appropriate mathematical expression and show how units cancel.

A ball is thrown horizontally from a window that is 11.3 meters high at a speed of 6.08 m/s. How far will the ball go before hitting the ground? (You do not need to write the unit.)

A toy rocket is launched from the top of a building 86 feet tall at an initial velocity of 235 feet per second. a) Give the function that describes the height of the rocket in terms of time t. b) Determine the time at which the rocket reaches its maximum height, and the maximum height in feet. c) For what time interval will the rocket be more than 269 feet above ground level? d) After how many seconds will it hit the ground? a) The function that describes the height of the rocket in terms of t is s(t) = feet after approximately b) The rocket reaches its maximum height of (Round to the nearest hundredth as needed.) c) The rocket will be more than 269 feet above ground level for all values of t in the interval (Type your answer in interval notation. Do not round until the final answer. Then round to the nearest hundredth as needed.) d) The rocket will hit the ground after Round to the nearest hundredth as needed.)

The Mars rover Spirit races across a flat plain, with position vector given by r(t) = (-2t² + 10t + 5)2 + 4tj where t is the time in seconds and units on the numbers are such that the resulting position components are in meters. To 3 place precision, what is the speed of the rover at t = 2 s? A. 3.00 m/s B. 7.21 m/s C. 2.27 m/s D. 4.47 m/s E. can't be determined from the given information.

On a very muddy football field, a 120 kg linebacker tackles an 85 kg halfback. Immediately before the collision, the linebacker is slipping with a velocity of 8.8 m/s north and the halfback is sliding with a velocity of 7.5 m/s east. What is the magnitude of the velocity at which the two players move together immediately after the collision? What is the direction of this velocity?

If you instead toss it horizontally at 2.8 m/s, how far will it fall vertically in the first 5 s? A basketball player achieves a hang time, the total time of flight, of 1.04 s when dunking the ball. What vertical height will he attain? The acceleration of gravity is 9.8 m/s². Answer in units of m.

A ball is thrown horizontally from the top of a building 22.3 m high. The ball strikes the ground at a point 127 m from the base of the building. The acceleration of gravity is 9.8 m/s². Find the time the ball is in motion. Answer in units of s. Find the initial velocity of the ball. Answer in units of m/s. Find the x component of its velocity just before it strikes the ground. Answer in units of m/s. Find the y component of its velocity just before it strikes the ground. Answer in units of m/s.

A toy falls off of the edge of a conveyor belt into a box below, if the box is 5.33 meters aways from the belt and 7.31 meters below the belt, what horizontal speed in m/s was the toy traveling at when it left the belt? (You do not need to write the unit)

Monica is running on the expansive grassland below Black Balsam Bald in North Carolina. She leaves her campsite and runs north for 25.0 miles, turns east and runs 16.0 miles, then finally runs south for 14.0 miles. a. Complete a vector diagram for her path across the grassland. Label each vector and the resultant clearly. b. Calculate the distance traveled and the magnitude of the displacement for her path. Distance = Displacement= c. If it takes Monica 4.5 hours to complete this run, what is her average speed? Average Speed=

Choose the positive direction to be from the pitcher to the plate (some answers may be negative). A pitcher throws a 0.14 kg baseball so that it crosses home plate horizontally with a speed of 22 m/s. It is hit straight back at the pitcher with a final speed of 32 m/s. What is the impulse delivered to the ball? Answer in units of kg. m/s. Find the average force exerted by the bat on the ball if the two are in contact for 0.0028 s. Answer in units of N.

A car with mass 1233 kg, moving at 17 m/s, strikes a(n) 2512 kg car at rest. If the two cars stick together, with what speed do they move? Answer in units of m/s.

A 747 jetliner lands and begins to slow to a stop as it moves along the runway. How far has it traveled in this time? Express your answer using three significant figures.

A 1.1 kg flower pot falls from a window ledge 9.8 meters above the sidewalk. What is the pot's velocity just as it hits the sidewalk? Remember that PE at the top = KE at the bottom! Use 10 m/s² for gravity. Round your answer to the nearest 0.1 (tenths place). Do not add units.

A particle is moved along the x-axis by a force that measures F(x) = 2x Newtons at each point * meters from the point a x = 0. Find the work done (in Newton-meters) when the particle is moved from x = 0 to x =7 meters.

5. You can model time t, in seconds, an object takes to reach the ground falling from height H, in meters by t(H) =root 2H/gThe value of g is 9.81 m/s². If an object takes 7 second to fall to the ground, what was its initial height? Show your work.

During a solar eclipse, the mass 7.36 × 10^22 kg), and Earth 5.98 x 10^24 kg), Sun 1.99 x 10^30 kg) lie on the same moon between Earth and the Sp moon moon (of (of mass mass (of Wur Un 2 What gravitational force is exerted on the moon by the Sun? The universal gravitational constant is 6.673 × 10^-11 N.m²/kg², the Earth-moon distance is 3.84 × 10^8 m, and the Earth-Sun distance is 1.496 × 10¹¹ m. Answer in units of N. What gravitational force is exerted on the moon by Earth? Answer in units of N.

A bike accelerates uniformly from rest to a speed of 7.10 m/s over a distance of 35.4 m. Determine the acceleration of the bike.

A student fires a cannonball vertically upwards. The cannonball returns to the ground after a 2.80s flight. Neglect drag and the initial height and horizontal motion of the cannonball. Fill in all the values below, with the units. Show the formula you use to find unknown variables for partial credit.

If you apply a constant force of 50N on a box, calculate how long it will take to move the 50 kg box on a skateboard from rest so that it is moving with a speed of 30 m/s. After you calculate your results, test it out with a stopwatch. Hint: Find a using a = Fnet/m. Then use vf = vi + at and solve for time t.

A drone traveling horizontally at 90 m/s over flat ground at an elevation of 4500 meters must drop an emergency package on a target on the ground. The trajectory of the package is given by x = 90t, y = - 4.9t² + 4500, t≥0 where the origin is the point on the ground directly beneath the drone at the moment of release. How many horizontal meters before the target should the package be released in order to hit the target? Round to the nearest meter.

A toy rocket is shot vertically into the air from a launching pad 6 feet above the ground with an initial velocity of 40 feet per second. The height h, in feet, of the rocket above the ground at t seconds after launch is given by the function h(t)= - 16t2 +40t+6. How long will it take the rocket to reach its maximum height? What is the maximum height? The rocket reaches its maximum height at second(s) after launch. The maximum height reached by the object is feet.