A sprinter can reach a speed of 12 m/s in 0.96 s. If the sprinter’s acceleration is constant during that time, what is the sprinter’s acceleration?
Current velocity = (time)*(acceleration) + initial velocity
12 = (0.96)*acceleration + 0
acceleration = 12.5 m/s2
To find the sprinter's acceleration, we can use the formula:
acceleration (a) = (final velocity (v) - initial velocity (u)) / time (t)
Given that the final velocity is 12 m/s, the initial velocity is 0 m/s (assuming the sprinter starts from rest), and the time is 0.96 s, we can substitute these values into the formula:
acceleration = (12 m/s - 0 m/s) / 0.96 s
Simplifying the equation:
acceleration = 12 m/s / 0.96 s
Now, we can calculate the acceleration:
acceleration = 12.5 m/s²
Therefore, the sprinter's acceleration is 12.5 m/s².