# Physics Honors

posted by .

A lovesick lad wants to throw a bag of candy and love notes into the open window of his girlfriend's bedroom 10 m above. Assuming it just reaches the window, he throws the love gifts at 60° to the ground:
a) At what velocity should he throw the bag?
b) How far from the house is he standing when he throws the bag?

• Physics Honors -

the equation of motion for an object thrown from (0,0) at an angle θ with velocity v is

y(x) = -g/(2v2 cos2θ) x2 + xtanθ

the range (where y=0 again) is

r = v2 sin2θ/g

the maximum height reached is

h = v2 sin2θ/2g

So, we know that
h = 10
θ = 60°

10 = v2 (3/4)/(2*9.8)
10 = .038 v2
v2 = 263.16
v = 16.22

The range is twice the distance to the balcony, so the balcony is at half the range:

r = 16.222 sin(120)/9.8
= 263.09 * √3/2 / 9.8
= 23.24

so, he stood 11.62m from the house

## Similar Questions

1. ### Physics

A drowsy cat spots a flowerpot that saild first up and then down past an open window. The pot was in view for a total of .43 s, and then top-to-bottom height of the window is 2m. How high above the window top did the flowerpot go?
2. ### Math

A firefighter is on the fifth floor of an office building. She needs to throw a rope into the wiindow above her on the seventh floor. The function h=-16t^2+36t models how high above her she is able to throw a rope. If she needs to …
3. ### physics

Henrietta is going off to her physics class, jogging down the sidewalk at a speed of 4.20 . Her husband Bruce suddenly realizes that she left in such a hurry that she forgot her lunch of bagels, so he runs to the window of their apartment, …
4. ### Physics

Henrietta is going off to her physics class, jogging down the sidewalk at a speed of 2.05 m/s. Her husband Bruce suddenly realizes that she left in such a hurry that she forgot her lunch of bagels, so he runs to the window of their …
5. ### Physics (PROJECTILE MOTION)

Henrietta is going off to her physics class, jogging down the sidewalk at a speed of 2.05 m/s. Her husband Bruce suddenly realizes that she left in such a hurry that she forgot her lunch of bagels, so he runs to the window of their …
6. ### physics

Henrietta is going off to her physics class, jogging down the sidewalk at a speed of 2.65m/s . Her husband Bruce suddenly realizes that she left in such a hurry that she forgot her lunch of bagels, so he runs to the window of their …
7. ### physics

You are riding in the back of an open pick-up truck in the snow as you pass your friend's house. Despite the fact that it is snowing you know that he has a habit of being in his bedroom with the light on and his bedroom window open. …
8. ### Physics

A boy wants to throw a ball into his friend’s window 16.0 m above. Assuming it just reaches the window, he throws the ball at 55.0° to the ground. At what velocity should he throw the ball?
9. ### Physics

Kaitlin is going off to her physics class, jogging down the sidewalk at a speed of 3.30m/s . Her husband Scott suddenly realises that she left in such a hurry that she forgot her sandwich, so he runs to the window of their apartment, …
10. ### English

1. Can I open the window? 2. May I open the window?

More Similar Questions