Calculation of Displacement for a Racing Car

27 Dec 2023

a racing car accelerates uniformly from rest at 4m/s. calculate the displacement after 15 seconds?

The displacement of the racing car after 15 seconds is 450 meters.

To calculate the displacement of the racing car after 15 seconds, we can use the following equation:

Displacement = Average velocity * Time

Find the average velocity:

Since the acceleration is constant, the average velocity during the 15 seconds will be the average of the initial and final velocities.

Initial velocity (u) = 0 m/s (as the car starts from rest)

Final velocity (v) can be found using the equation: v = u + at, where a is the acceleration (4 m/s²) and t is the time (15 seconds)

v = 0 + 4 * 15

= 60 m/s

Average velocity = (u + v) / 2 = (0 + 60) / 2

= 30 m/s

Calculate the displacement:

Displacement = Average velocity * Time = 30 m/s * 15 seconds

= 450 meters

Have you ever calculated the displacement of an object with uniform acceleration?

Yes, I have calculated the displacement of objects with uniform acceleration using the formula Displacement = Average velocity * Time.