Answer:
34.37 m/s
Explanation:
Acceleration is the change in velocity of a body with respect to time. Mathematically,
Acceleration = change in velocity/time
a = v-u/t
at = v-u
v = u+at
Since the ball is thrown vertically upward, the body acts under influence of gravity and the acceleration due to gravity is positive i.e a = -g
The equation becomes;
v = u-gt where
v is the final velocity of the ball = 0m/s (velocity on landing)
u is the initial velocity of the ball (the velocity at point of release)
t is the time = 3.5secs
g = 9.82m/s²
Substituting this values in the formula above;
0 = u - 9.82(3.5)
-u = - 34.37
u = 34.37m/s