Car Acceleration Fun Facts!

How fast can a car accelerate from rest to 15 meters per second?

Options:

A. Instantly

B. Slowly

C. Quickly

D. Gradually

Answer:

The car's acceleration is 1.125 m/s²

Explanation:

When a car accelerates uniformly from rest to 15 meters per second over a distance of 100 meters, the magnitude of the car’s acceleration is calculated using the equation v² = u² + 2as.

Given that the initial velocity u is 0 m/s (from rest) and the final velocity v is 15 m/s, we can find the acceleration a.

Let's break it down:

The formula v² = u² + 2as is applicable in this scenario, where v is the final velocity, u is the initial velocity, a is the acceleration, and s is the distance.

By substituting the given values into the equation, we can solve for the magnitude of the car's acceleration:

a = v²/2s

Given: v = 15 m/s, s = 100 m

Substitute into the equation:

a = 15² / (2 × 100)

a = 225 / 200

a = 1.125 m/s²

Therefore, the magnitude of the car's acceleration is 1.125 m/s².