# physics

posted by .

In a movie a character jumps off a balcony at an angel of 25 degree 10 meters above the ground and land in a window that is 5 meters away and 9 meters above the ground. What is the intial velocity?

• physics -

The initial velocity has horizontal and vertical components:

Vx = v cos(25) = .9063V
Vx = v sin(25) = .4226V

The position has horizontal and vertical components:

Px = Vx * t
Py = 10 - 4.9t^2 + Vy*t

How long does it take to travel the 5m across?

5 = .9063V t
t = 5/.9063V
V = 5/.9063t

How long does it take to drop the 1 meter in height?

-1 = 10 - 4.9t^2 + .4226V*t
-1 = 10 - 4.9t^2 + .4226*5/.9063
-1 = 10 - 4.9t^2 + 2.3315
4.9t^2 = 13.3315
t = sqrt(13.3315/4.9) = 1.65s

To cover 5m in 1.65s, Vh = 3.03, so V = 3.34m/s

Check on position:
10 - 4.9*1.65^2 + .4226 * 3.34 * 1.65 = -1.01m

## Similar Questions

1. ### physics

A baseball bat makes contact with a ball 1.05 meters above the ground and the ball moves away at a 41.5 degree angle from the horizontal. It's a homer!! The ball lands in the bleachers 133.5 meters away from home plate, 4.1 meters …
2. ### Physics

An arrow is shot with a velocity of 30.0 meters/second and at an angle of 37 degrees above ground. Its initially 2 meters above ground and 15 meters from wall. Wat Height above grond does it hit wall?
3. ### physics

person must jump off a balcony at an angle of 20 degrees 10 meters above the ground and land in a window 3 meters away and 8.5 meters above the ground. What should the velocity be in order to make this jump?
4. ### physics

person must jump off a balcony at an angle of 20 degrees 10 meters above the ground and land in a window 3 meters away and 8.5 meters above the ground. What should the velocity be in order to make this jump?
5. ### physics

person must jump off a balcony at an angle of 20 degrees 10 meters above the ground and land in a window 3 meters away and 8.5 meters above the ground. What should the velocity be in order to make this jump?
6. ### physics

person must jump off a balcony at an angle of 20 degrees 10 meters above the ground and land in a window 3 meters away and 8.5 meters above the ground. What should the velocity be in order to make this jump?
7. ### physics

In an action movie the lead character must jump off a balcony at an angle of 20 degrees, 10 meters above the ground and land in a window 3 meters away and 8.5 metters abover the ground. What should the velocity be in order to make …
8. ### Physics

In an action movie the lead character must jump off a balcony at an angle of 20 degrees, 10 meters above the ground and land in a window 3 meters away and 8.5 metters abover the ground. What should the velocity be in order to make …
9. ### physics

1)A fire hose held near the ground shoots water at a speed of6.5 mps At what angle should the nozzle point in order that the water land 2.5 meters away?
10. ### physics

A baseball is hit with a speed of 27 meters per second at an angle of 45 degrees. It lands on the flat roof of a 13 meter tall building. If the ball was hit when it was 1 meter above the ground, what horizontal distance does it travel …

More Similar Questions