Question

A shopping cart given an initial velocity of 2.0 m/s undergoes a constant acceleration of 3.0 m/s2. What is the cart’s displacement after the first 4.0 s of its motion?

What is your car's initial velocity?

How long is the cart accelerating for?

What is the acceleration of the cart?

Write the equation you will use to solve this problem.

What is the displacement of the shopping cart?
32 m
10 m
55 m
80 m

Answer 1

Final Velocity = 14m/s

Displacement = 56m

Step-by-step explanation:

U (initial velocity) = 2m/s

A (acceleration) = 3m/s^2

T (time) = 4s

v (final velocity) = ?

S (displacement) = ?

FIRST FIND FINAL VELOCITY:

`a = (v - u)/(t)`

(i) Multiply both sides by t:

`a * t = v - u`

(ii) Add u to both sides:

`(a * t) + u = v`

(iii) rearrange formula:

`v = (a * t) + u`

v = ( 3 × 4 ) + 2

v = 12 + 2

v = 14m/s

SECOND FIND DISPLACEMENT:

`v = (s)/(t)`

(i) Multiply both sides by t:

`v * t = s`

(ii) Rearrange formula:

`s = v * t`

s = 14 × 4

s = 56m

Not sure why it isn't one of the options but im pretty sure I did all the steps right...