Exam 2: Motion in a Straight Line

If an electron and a proton have the same initial position at the same initial time,and the same final position at the same final time,then which velocity would always be the same for both?

Two trains,one travelling at 20 m/s and the other at 40 m/s,are headed toward one another along a straight level track.When they are 950 m apart,each engineer sees the other's train and applies the brakes.Assuming both trains have equal magnitude accelerations after the brakes are applied,determine the minimum magnitude of this acceleration in order to avoid a collision.

A drag racer reaches 150 km/hr in a 2-km race.Assuming constant acceleration,what was the elapsed time for the km (in minutes)?

How much runway does a 150,000-kg cargo plane need if it uniformly reaches its minimum takeoff speed of 135 m/s in 12 seconds?

A ball is thrown with velocity of 10m/s upwards.If the ball is caught 1 m above its initial position,what is the speed of the ball when it is caught?

A car is traveling with a speed of 24 m/s.What is the magnitude of the acceleration necessary to stop the car in a distance of 60 m?

A car moving along the x direction has acceleration,a_x that varies with time as shown in the figure.At the moment,t = 0 s,the car is located at x = 12 m and has a velocity of 6 m/s in the positive x direction.What is the position of the car at t = 4.0 s?

A 1050 kg car is traveling at a speed of 25 m/s when the driver sees that there is a tree across the road.If the car has a constant deceleration of -5.0 m/s² and the driver has a reaction time of 0.30 s,how far does the car travel before it comes to a stop?

The acceleration of a race car as a function of time is a(t)= kt,where a is measured in meters per second squared,t is measured in seconds and k is a constant.If its velocity at t = 0 is 2 m/s,and it is 26 m/s at t = 2 s,what is the value of the constant,k?

If the position of an object (in meters)is given by the relation ,how fast the object moving at a time of 4.00 s?

At time,t = 0 s,car A is at rest at the origin of the coordinate system and car B is moving due East at a constant velocity of 20 m/s.When car B is 50 m west of car A, car A starts to move at a constant acceleration of 2 m/s² due East.A certain time later car B overtakes car A. How far from the origin has car A moved when car A eventually catches up with car B and once again moves farther East of car B?

The graph shown is of velocity versus time.Which statement best describes the acceleration?

A plane lands at 50.0 m/s,and its brakes are capable of slowing it down at 10.0 m/s².How far does it go (in m)between touching down and stopping?

The position of a nanoparticle as a function of time is x(t)= t² - t - 6,where x is measured in meters,t is measured in seconds and t > 0.What is the minimum value of the nanoparticle's position?

In this graph of distance vs.time,which of the following is true (chose one)?

The graph shown is of position versus time.Which statement best describes it?

The figure shows the position of a car (black circles)at one second intervals.What is the velocity at the time t = 4 s?

A heavy ball is dropped into a lake from a height of 30.0 m above the water.It hits the water with a certain velocity and continues to sink to the bottom of the lake at this same constant velocity.It reaches the bottom of the lake 10.0 s after it was dropped.How deep is the lake?

A car can accelerate from zero to 164 m/s in 469 meters.How long (in seconds)does it take to do this?

What is your average speed in m/s when you go from -2 m to 10 m in 3.2 s and then from 10 m to -12 m in 5.4 seconds?