A baseball is thrown at an angle of 23◦ relative to the ground at a speed of 22.3 m/s. The ball is caught 36.4649 m from the thrower. The acceleration due to gravity is 9.81 m/s2 . How long is it in the air?

How high is the tallest spot in the ball’s path?

2 answers

Horizontal velocity component = 22.3 cos23 = 20.53 m/s

Initial horizontal velocity component
Vyo = 22.3 sin23 = 8.71 m/s

Time ball is in the air = 36.4649/20.53 = 1.78 s.

I did not have to use the horizontal velocity component to get that result; one can use Voy to get the time in the air as follows:
T = 2*Vyo/g = 1.78 s

Both methods agree, as they should.
a person standing at the edge of a seaside cliff kick is 51 m above the water's surface, as shown. the acceleration of gravity is 9.81 m/s^2

a) how long does it take for the stone to fall to the water?

b) with what speed does the stone strike the water.