A red colored ball tossed upward reaches a maximum height of 3.0m. show that the initial speed is 7.7m/s^2.

1 answer

ignoring air resistance, we can apply the kinematics equation

v1^2-v0^2=2aS
S=distance travelled = 3 m
v0=initial velocity (to be found)
v1=final velocity =0 m/s at highest point
a=acceleration due to gravity = -9.81 m/s^2

Solve for v0 and show that it is approximately 7.7 m/s (not m/s^2).