Asmall cart is rolling freely on an inclined ramp with a constant acceleration of .50 m/s2 in the x-direction. at time t=0, the cart has a velocity of 2.0 m/s in the +x-direction. if the cart never leaves the ramp, describe the motion of the cart at time t> 5 s.

At t = 5 s, the velocity is 4.5 m/s, and for t > 5 s, it will continue increasing 0.5 m/s each second

Explanation:

We can find the velocity of the cart after t = 5 seconds using the equation:

v = u +at

where

v is the final velocity

u is the initial velocity

t is the time

a is the acceleration

For the cart in the problem,

Substituting t = 5 s, we find the velocity after 5 seconds:

And after t > 5 s, the cart will continue accelerating, increasing its velocity by 0.50 m/s each second.