Posted by **201** on Thursday, October 6, 2011 at 8:21pm.

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 this jump?

How long is the stunt double in the air?

What is the velocity as the stunt double impacts the window?

What is the maximum height the double is above the ground?

What is the acceleration at the highest point of the jump?

- Physics -
**Steve**, Friday, October 7, 2011 at 2:07pm
The initial velocity has x- and y-components:

Vx = V cos 20 = 0.9397V

Vy = V sin 20 = 0.3420V

How long does it take to cross the 3m?

t = 3/Vx = 3/.9379V = 3.1986/V seconds

V = 3.1986/t

How long does it take to fall 1.5m to the window?

Py = 10 + .3420Vt - 4.9t^2 = 8.5

10 + .3420t*3.1986/t - 4.9t^2 = 8.5

4.9t^2 - 1.0939 - 1.5 = 0

4.9t^2 - 2.5939 = 0

t = sqrt(2.5939/4.9) = 0.7275 sec

V = 3.1986/.7275 = 4.3967 m/s

Check to make sure of height:

Py = 10 + .3420*4.3967*.7275 - 4.9*.5293 = 8.500 m

So, velocity = 4.4m/s

Time in air = 0.73 s

V at window = sqrt(Vx + Vy)^2 = sqrt(4.13^2 + 2.06^2) = 4.61 m/s

Acceleration never changes: -9.8m/s^2

## Answer This Question

## Related Questions

- physics - In an action movie the lead character must jump off a balcony at an ...
- physics - person must jump off a balcony at an angle of 20 degrees 10 meters ...
- physics - person must jump off a balcony at an angle of 20 degrees 10 meters ...
- physics - person must jump off a balcony at an angle of 20 degrees 10 meters ...
- physics - person must jump off a balcony at an angle of 20 degrees 10 meters ...
- physics - In a movie a character jumps off a balcony at an angel of 25 degree 10...
- physics - 1)A fire hose held near the ground shoots water at a speed of6.5 mps ...
- physics - A baseball is hit with a speed of 27 meters per second at an angle of...
- physics - a projectile is fired at 50 meters per second at an angle of 30 ...
- Math - Sam wants to find the height of a window in a nearby building but it is a...

More Related Questions