Question

A toy car with an initial velocity of 5 m/s slows to a stop with an acceleration of -1.5 m/s^2.

What is your car's initial velocity?

What is the car's final velocity?

What is the acceleration of the car?

Write the equation you will use to solve this problem.

What is the displacement of the toy car?
4.8 m
8.3 m
16.7 m
21.4 m

Answer 1

Car's Initial velocity (u) = 5 m/s

Car's Final velocity (v) = 0 m/s (Stop)

Acceleration of the car (a) = -1.5 m/s²

Equation used to solve this problem:

`\boxed{ \bf{ {v}^(2) = {u}^(2) + 2as}}`

By substituting values in the equation, we get:

`\rm \longrightarrow {0}^(2) = {5}^(2) +2 * ( - 1.5) * s \\ \\ \rm \longrightarrow 0 = 25 - 3s \\ \\ \rm \longrightarrow 25 - 3s = 0 \\ \\ \rm \longrightarrow 25 - 25 - 3s =0 - 25 \\ \\ \rm \longrightarrow - 3s = - 25 \\ \\ \rm \longrightarrow 3s = 25 \\ \\ \rm \longrightarrow (3s)/(3) = (25)/(3) \\ \\ \rm \longrightarrow s = 8.3 \: m`

`\therefore` Displacement of the toy car (s) = 8.3 m