Question

Provides some background for this problem. a ball is thrown vertically upward, which is the positive direction. a little later it returns to its point of release. the ball is in the air for a total time of 7.70 s. what is its initial velocity? neglect air resistance.

Answer 1

For an object thrown vertically upward, its time of flight is equal to the equation below:

t = 2v/g
where
t is the time of flight
v is the initial velocity
g is the acceleration due to gravity equal to 9.81 m/s²

Substituting the values,

7.07 = 2v/9.81
v = 34.68 m/s