Question

A shopping cart given an initial velocity of 2.0 m/s undergoes a constant acceleration to a velocity of 13 m/s. What is the magnitude of the carts acceleration if the time is 4.0?

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Answer 1

The acceleration is a = 2.75 [m/s^2]

Step-by-step explanation:

In order to solve this problem we must use kinematics equations.

`v_(f) = v_(i) + a*t\\`

where:

Vf = final velocity = 13 [m/s]

Vi = initial velocity = 2 [m/s]

a = acceleration [m/s^2]

t = time = 4 [s]

Now replacing:

13 = 2 + (4*a)

(13 - 2) = 4*a

a = 2.75 [m/s^2]