At a drag race, a jet car travels 1/4 mile in 5.2 seconds. What is the final speed of the car and its acceleration?
Calculate the average speed of a sprinter who completes a 400m race in 53s?
To find the final speed of the car, we can use the formula for average speed: speed = distance / time.
First, we need to convert the distance from 1/4 mile to meters because the SI unit for speed is meters per second.
1 mile is approximately equal to 1609.34 meters. Therefore, 1/4 mile is equal to (1/4) * 1609.34 meters, which is approximately 402.34 meters.
Next, we can calculate the speed using the formula: speed = distance / time.
speed = 402.34 meters / 5.2 seconds = 77.36 meters per second.
So, the final speed of the car is approximately 77.36 meters per second.
To find the acceleration, we can use the formula: acceleration = (final speed - initial speed) / time.
Since the problem does not provide an initial speed, we assume that the car starts from rest. Therefore, the initial speed is 0 meters per second.
acceleration = (77.36 meters per second - 0 meters per second) / 5.2 seconds.
acceleration = 77.36 meters per second / 5.2 seconds = 14.88 meters per second squared.
So, the acceleration of the car is approximately 14.88 meters per second squared.