# physics

A rescue plane wants to drop supplies to isolated mountain climbers on a rocky ridge 235 m below. The plane is traveling horizontally with a speed of 280 km/h (77.8 m/s).
(b) Suppose, instead, that the plane releases the supplies a horizontal distance of 425 m in advance of the mountain climbers. What vertical velocity (up or down) should the supplies be given so that they arrive precisely at the climbers' position?
(c) With what speed do the supplies land in the latter case?

1. 3
1. The question does not include part (a). I hope this is intended.

The problem can be summarized as follows:
Horizontal distance, H=425 m
Vertical distance, V=-235 m
horizontal velocity, h = 77.78 m/s
time to reach target, t = H/h = 5.464 s

The vertical component of velocity, v, is such that when the projectile is ejected upwards with a velocity v, it should reach V=-235 in 5.464 seconds.
The kinematics equation gives us:
V = vt + (1/2)(-g)tÂ²
Solving for v give v=-16.2 m/s
The negative sign means the supplies should be given a kick downwards.

Check my calculations.

A recent solution to a similar problem is at your disposal :
http://www.jiskha.com/display.cgi?id=1254088758

posted by MathMate

## Similar Questions

1. ### physics

A rescue plane wants to drop supplies to isolated mountain climbers on a rocky ridge 235 m below. The plane is traveling horizontally with a speed of 280 km/h (77.8 m/s). (b) Suppose, instead, that the plane releases the supplies
2. ### Physics - HELP

A rescue plane wants to drop supplies to isolated mountain climbers on a rocky ridge 235 m below. The plane is traveling horizontally with a speed of 280 km/h (77.8 m/s). (b) Suppose, instead, that the plane releases the supplies
3. ### physics

A rescue plane wants to drop supplies to isolated mountain climbers on a rocky ridge 235 m below. The horizontal velocity of the plane is 250 km/h (69.4 m/s). Rescue plane releases the supplies a horizontal distance of 425 m in
4. ### Physics

A rescue plane wants to drop supplies to isolated mountain climbers on a rocky ridge 235 m below. Assume the plane is traveling horizontally with a speed of 195 km/h (54.2 m/s). Suppose, instead, that the plane releases the
5. ### Physics

A rescue plane wants to drop supplies to isolated mountain climbers on a rocky ridge 235 m below. Assume the plane is traveling horizontally with a speed of 195 km/h (54.2 m/s). How far in advance of the recipients (horizontal
6. ### Physics

A rescue plane wants to drop supplies to isolated mountain climbers on a rocky ridge H = 231 m below. If the plane is traveling horizontally with a speed of 227 km/h (63.1 m/s), how far in advance of the recipients (horizontal
7. ### Physics

Also got lost on this question: A rescue plane wants to drop supplies to isolated mountain climbers on a rocky ridge 235m below. If the plane is traveling horizontally with a speed of 250 km/h (69.4 m/s), (a) how far in advance of
8. ### Physics

A rescue plane wants to drop supplies to isolated mountain climbers on a rocky ridge H = 231 m below. If the plane is traveling horizontally with a speed of 227 km/h (63.1 m/s), how far in advance of the recipients (horizontal
9. ### AP physics

A rescue plane wants to drop supplies to isolated mountains climbers on Rocky ridge 235m below. If the plane is traveling horizontally with a speed of 250 km/h (69.4m/s), how far in advance of the recipients (horizontal distance)
10. ### Physics

A rescue plane has to drop supplies to a group of castaways who are stranded on a deserted island. The plane is flying as 150 m/s at a level altitude of 1200 m. How far ahead of the landing zone should the plane release the

More Similar Questions