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.