A sports car accelerates from rest to 100 km/h in 6.25. What is the acceleration in m/s^2?
To determine the acceleration in m/s^2, we can use the formula:
acceleration (a) = (change in velocity (Δv)) / (change in time (Δt))
First, we need to convert the initial and final velocities from km/h to m/s.
Given:
Initial velocity (u) = 0 km/h (car is at rest)
Final velocity (v) = 100 km/h
Time taken (t) = 6.25 s
Using the conversion factor:
1 km/h = (1/3.6) m/s
Converting the final velocity to m/s:
v = 100 km/h * (1/3.6) m/s = 27.78 m/s
Plugging the values into the formula:
a = (v - u) / t
Since the car starts from rest (u = 0 m/s), we have:
a = (27.78 m/s - 0 m/s) / 6.25 s
Performing the calculation, we find:
a = 4.4448 m/s^2
Therefore, the acceleration of the sports car is approximately 4.44 m/s^2.