To find the acceleration of the car, we can use the formula:
acceleration = (final velocity - initial velocity) / time
Given: Initial velocity (u) = 24 km/hr Final velocity (v) = 60 km/hr Time (t) = 10 s
First, let's convert the velocities from km/hr to m/s, as the standard unit for acceleration is meters per second squared (m/s²).
1 km/hr = 1000 m/3600 s ≈ 0.2778 m/s
Initial velocity (u) = 24 km/hr ≈ 24 × 0.2778 m/s ≈ 6.67 m/s Final velocity (v) = 60 km/hr ≈ 60 × 0.2778 m/s ≈ 16.67 m/s
Now we can calculate the acceleration:
acceleration = (v - u) / t acceleration = (16.67 m/s - 6.67 m/s) / 10 s acceleration = 10 m/s / 10 s acceleration = 1 m/s²
Therefore, the acceleration of the car is 1 m/s².