Let's use the following kinematics equation and use the problem statement to find our desired variables.

X_{f} = X_{i} + V_{i}t + 1/2a*t^{2}

X_{f} = 9.5m (Final Position)

X_{i} = 7.5m (Initial Position)

t = 1.3s (Total time elapsed between two positions)

a = -9.81m/s^{2} (gravity)

Solve for **V**_{i}** = 7.91m/s**