To determine the acceleration of a car that starts from rest and travels at a speed of 90 km/h in a time of 3.00 seconds, we can use the formula:
Acceleration = (Final Velocity - Initial Velocity) / Time
Given: Initial Velocity (u) = 0 km/h (as the car starts from rest) Final Velocity (v) = 90 km/h Time (t) = 3.00 seconds
Converting the velocities to meters per second (m/s):
Initial Velocity (u) = 0 km/h = 0 m/s Final Velocity (v) = 90 km/h = 25 m/s (1 km/h = 1000 m/3600 s ≈ 0.2778 m/s)
Substituting the values into the formula:
Acceleration = (25 m/s - 0 m/s) / 3.00 s
Calculating the result:
Acceleration ≈ 8.33 m/s² (rounded to two decimal places)
Therefore, the acceleration of the car starting from rest and reaching a speed of 90 km/h in 3.00 seconds is approximately 8.33 m/s².