Question

If someone is driving 100 miles in 60 minutes then drives 150 miles in 100 minutes west, what is his acceleration rate.

Answer 1

his acceleration rate is -0.00186 m/s²

Step-by-step explanation:

Given;

initial position of the car, x₀ = 100 miles = 160, 900 m ( 1 mile = 1609 m)

time of motion, t₀ = 60 minutes = 60 mins x 60 s = 3,600 s

final position of the car, x₁ = 150 miles = 241,350 m

time of motion, t₁ = 100 minutes = 100 mins x 60 s = 6,000 s

The initial velocity is calculated as;

u = 160, 900 m / 3,600 s

u = 44.694 m/s

The final velocity is calculated as;

v = 241,350 m / 6,000 s

v = 40.225 m/s

The acceleration is calculated as;

`a = (\Delta V)/(\Delta t) = (v- u)/(t_1 - t_ 0) = (40.225 - 44.694)/(6000-3600) = -0.00186 \ m/s^2\\\\`

Therefore, his acceleration rate is -0.00186 m/s²