A cart is given an initial velocity of 5.0 m/s and experiences a constant acceleration of 2.4 m/s².What is the magnitude of the cart's displacement during the first 5.0 s of its motion? A)35 m B)85 m C)55 m D)11 m E)17 m

Question

Quizplus · Accepted Answer

Using the kinematic equation:

d = vi*t + 0.5*a*t^2

where 
vi = 5.0 m/s (initial velocity) 
a = 2.4 m/s^2 (constant acceleration) 
t = 5.0 s (time)

Plugging in the values, we get:

d = (5.0 m/s)*(5.0 s) + 0.5*(2.4 m/s^2)*(5.0 s)^2 = 55 m

Therefore, the magnitude of the cart's displacement during the first 5.0 s of its motion is 55 m, which is option C.

A Cart Is Given an Initial Velocity of 5