Exam 2: Motion in One Dimension

The position of a particle moving along the x axis is given by x = 6.0t² − 1.0t³,where x is in meters and t in seconds.What is the position of the particle when it achieves its maximum speed in the positive x direction?

A particle confined to motion along the x axis moves with constant acceleration from x = 2.0 m to x = 8.0 m during a 2.5-s time interval.The velocity of the particle at x = 8.0 m is 2.8 m/s.What is the acceleration during this time interval?

The small circles in the diagram below represent the positions along the x axis of a body at equal time intervals.Assume the body moves in a straight line. This diagram is most likely to describe

A particle moving with a constant acceleration has a velocity of 20 cm/s when its position is x = 10 cm.Its position 7.0 s later is x = −30 cm.What is the acceleration of the particle?

When Jim and Rob ride bicycles,Jim can only accelerate at three quarters the acceleration of Rob.Both start from rest at the bottom of a long straight road with constant upward slope.If Rob takes 5.0 minutes to reach the top,how much earlier should Jim start to reach the top at the same time as Rob?

A skier leaves a ski jump with a horizontal velocity of 29.4 m/s.The instant before she lands three seconds later,the magnitudes of the horizontal and vertical components of her velocity are: