Calculating Distance Traveled by a Car with Uniform Acceleration

How can we calculate the distance traveled by a car with uniform acceleration?

Given data: A car accelerates uniformly from rest at the rate of 5 m/s^2. How far will the car travel in 7 seconds?

Answer:

The car, starting from rest and accelerating uniformly at 5 m/s^2, will travel 122.5 meters in 7 seconds.

When dealing with a car accelerating uniformly from rest, we can use the formula for distance (s) traveled in such scenarios, which is: s = 1/2 * a * t^2, where a represents the acceleration and t is the time taken.

Substituting the given values of acceleration (5 m/s^2) and time (7 seconds) into the formula: s = 1/2 * 5 * (7)^2 = 122.5 meters

Therefore, when a car accelerates uniformly at 5 m/s^2 from rest, it will travel a distance of 122.5 meters in 7 seconds. This calculation is based on the principles of physics regarding uniform acceleration and the relationship between distance, acceleration, and time.