A cart is given an initial velocity of 5.0 m/s and

experiencesa constant acceleration of 2.0 m/s ^2. What is the

magnitude of thecart's displacement during the first 6.0 s of its

motion?

cart displacement is 66 m

Explanation:

given data

velocity = 5 m/s

acceleration = 2 m/s²

time = 6 s

to find out

What is the

magnitude of cart displacement

solution

we will apply here equation of motion to find displacement that is

s = ut + 0.5*at² ... 1

here s id displacement and u is velocity and a is acceleration and time is t here

put all value in equation 1

s = ut + 0.5*at²

s = 5 (6) + 0.5 * (2) * 6²

s = 66

so cart displacement is 66 m