A powerful motorcycle can accelerate from rest to 24.8 m/s (55 mi/h) in only 5.90 s

To find the acceleration of the motorcycle, we can use the formula:

acceleration = (final velocity - initial velocity) / time

Given:
Initial velocity (u) = 0 m/s (the motorcycle starts from rest)
Final velocity (v) = 24.8 m/s
Time (t) = 5.90 s

Substituting these values into the formula, we get:

acceleration = (24.8 m/s - 0 m/s) / 5.90 s

Simplifying this equation, we have:

acceleration = 24.8 m/s / 5.90 s

Calculating the acceleration, we find:

acceleration = 4.20 m/s²

To solve this problem, we can use the equation for acceleration:

acceleration (a) = change in velocity (Δv) / time (t)

Given:
Initial velocity (v0) = 0 m/s (rest)
Final velocity (v) = 24.8 m/s
Time (t) = 5.90 s

To find the acceleration, we need to calculate the change in velocity, which is the final velocity minus the initial velocity:

Δv = v - v0

Substituting the given values in the equation, we have:

Δv = 24.8 m/s - 0 m/s = 24.8 m/s

Now, we can use the equation for acceleration to find the answer:

a = Δv / t
a = 24.8 m/s / 5.90 s = 4.2 m/s²

Therefore, the acceleration of the powerful motorcycle in this case is 4.2 m/s².