For this, we will use the formula:
a = [V₀⁻V₁]÷t
Where:
a - Acceleration
V₀ - Final Velocity
V₁ - Initial Velocity
t - Time
Given:
a = -2.0 m/s²
V₁ = 15.0 m/s
V₀ = 0 m/s ; because the car stopped
Find:
t = ?
Solution:
a = [V₀⁻V₁]÷t
First, we should derive the formula to the element that we are looking for (which is time).
t = [V₀⁻V₁]÷a
t = [0 m/s - 15.0 m/s]÷(-2.0 m/s²) ; substituting the numbers
t = -15.0 m/s ÷ -2.0m/s²
t = 7.5 seconds ; cancelling the removable units thus resulting only to the time unit s(seconds)
It took the car 7.5 seconds to stop