# physics

posted by .

A boy standing in a ditch throws a baseball upward toward his father. The ball leaves his hand at ground level, with an initial speed of 15.0 m/s, at an angle of theta = 53.0 degrees from the horizontal. The boy's father reaches up and catches the ball over his head, at a height of 2.0 m above the ground. The father catches the ball on its way down. Calculate how long the ball is in the air. ( g = 9.81 m/s2)

• physics -

Vo = (15m/ws,53deg.).
Xo = 15cos53 = 9.0mm/s.
Yo = 15sin53 = 12.0m/s.

t(up) = (Yf - Yo) / g,
t(up) = (0 - 12) / -9.81) = 1.22s.

Yf^2 = Yo^2 + 2gh,
h = (Yf^2 - Yo^2) / 2g,
hmax = (0 - (12)^2) / -19.62 = 7.34m.

h = Yo*t + 0.5g*t^2 = (7.34 - 2)m.
0 + 4.9t^2 = 5.34,
t^2 = 1.09,
t(dn) = 1.04s.

T = t(up) + t(dn) = 1.22 + 1.04 = 2.26s
= Time in air.

## Similar Questions

1. ### Physics

A soccer player kicks a ball from the ground into the goal, which is located 17 meters away on the level playing field. The ball leaves the ground at an initial speed of 18m/s and at an initial angle above the horizontal of 23 degrees. …
2. ### physics

A child throws a ball with an initial speed of 8 m/s at an angle of 40 degrees above the horizontal. The ball leaves her hand 1 m above the ground. How long is the ball in flight before it hits the ground?
3. ### physics

Julie throws a ball to her friend Sarah. The ball leaves Julie's hand a distance 1.5 meters above the ground with an initial speed of 12 m/s at an angle 35 degrees; with respect to the horizontal. Sarah catches the ball 1.5 meters …
4. ### physics

An outfielder throws a baseball with an initial speed of 30 m/s at an angle of 13° to the horizontal. The ball leaves his hand from a height of 1.75 m. How long is the ball in the air before it hits the ground?
5. ### Physics

A child throws a ball with an initial speed of 8.00 m/s at an angle of 40.0° above the horizontal. The ball leaves her hand 1.00 m above the ground. What is the magnitude of the ball's velocity just before it hits the ground?
6. ### Physics

Julie throws a ball to her friend Sarah. The ball leaves Julie's hand a distance 1.5 meters above the ground with an initial speed of 24 m/s at an angle 32 degrees; with respect to the horizontal. Sarah catches the ball 1.5 meters …
7. ### Physics

Julie throws a ball to her friend Sarah. The ball leaves Julie's hand a distance 1.5 meters above the ground with an initial speed of 22 m/s at an angle 63 degrees; with respect to the horizontal. Sarah catches the ball 1.5 meters …
8. ### Physics

A boy standing in a ditch throws a baseball upward toward his father. The ball leaves his hand at ground level, with an initial speed of 16.0 m/s,at an angle of θ = 51°, from the horizontal. The boy's father reaches up and catches …
9. ### physics

A baseball player standing on the ground throws a ball straight up. The ball leaves the player's hand with a speed of 15.5 m/s and is in the air for 3.30 s before hitting the ground. How high above the ground was the baseball player's …
10. ### physics

A baseball player standing on the ground throws a ball straight up. The ball leaves the player's hand with a speed of 6.22 m/s and is in the air for 2.70 s before hitting the ground. How high above the ground was the baseball player's …

More Similar Questions