Question

A race car accelerates from 0.0 m/s to 30.0 m/s with a displacement of 45.0 m. What is the car’s acceleration?

Answer 1

Using SUVAT

U = 0 m/s
V = 30 m/s
A = ?
S = 45 m

Answer 2

10 m/s²

Step-by-step explanation:

Given data

• Initial velocity (u): 0.0 m/s

• Final velocity (v): 30.0 m/s

• Displacement (s): 45.0 m

• Acceleration (a): ?

We can detemine the acceleration of the car using the following kinematic expression.

v² = u² + 2 × a × s

2 × a × s = v² - u²

a = v² - u² / 2 × s

a = (30.0 m/s)² - (0.0 m/s)² / 2 × 45.0 m

a = 10 m/s²