# physics

posted by .

As some molten metal splashes, one droplet flies off to the east with initial speed vi at angle θi above the horizontal, and another droplet flies off to the west with the same speed at the same angle above the horizontal, as inthe figure. In terms of vi and θi, find the distance between the droplets as a function of time. (Use v_i for vi, q_i for θi, and t as appropriate in your equation for the distance.)

• physics -

Both droplets initially rise and then fall due to gravity. Both droplets have the same altitude at a given time, because they started with the same angle (from horizontal) and speed. Therefore the distance between them is determined by their horizontal coordinate along the east-west axis only. That is proportional to the horizontal component of the initial velocity. The separation is double the distance that either one travels hotizontally, because they go in opposite directions.

The separation is therefore
2 (v_i)cos(q_i)t

## Similar Questions

1. ### ALGEBRA 2

A plane takes off from an aiport and flies east at a speed of 350 mi/h. Ten minutes later, a second plane takes off from the same airport and flies east at a higher altitude at a speed of 400 mi/h. How long does it take the second …
2. ### physics

As some molten metal splashes, one droplet flies off to the east with initial speed vi at angle θi above the horizontal, and another droplet flies off to the west with the same speed at the same angle above the horizontal, as …
3. ### Physics

A ski jumper starts from rest 51.0 m above the ground on a frictionless track and flies off the track at an angle of 45.0° above the horizontal and at a height of 12.0 m above the ground. Neglect air resistance. (a) What is her speed …
4. ### Physics

The drawing shows two frictionless inclines that begin at ground level (h = 0 m) and slope upward at the same angle θ. One track is longer than the other, however. Identical blocks are projected up each track with the same initial …
5. ### Physics

The drawing shows two frictionless inclines that begin at ground level (h = 0 m) and slope upward at the same angle θ. One track is longer than the other, however. Identical blocks are projected up each track with the same initial …
6. ### Physics

The drawing shows two frictionless inclines that begin at ground level (h = 0 m) and slope upward at the same angle θ. One track is longer than the other, however. Identical blocks are projected up each track with the same initial …
7. ### Physics

A golfer tees off on level ground, giving the ball an initial speed of 46.5 m/s and an initial direction of 37.5 above the horizontal. a) how far from the golfer does the ball land?
8. ### PHYSICS

The drawing shows two frictionless inclines that begin at ground level (h = 0 m) and slope upward at the same angle θ. One track is longer than the other, however. Identical blocks are projected up each track with the same initial …
9. ### Algebra

A plane takes off from an airport and flies east at a speed of 350 mph. Ten minutes later, a second plane takes off from the same airport and flies east at a higher altitude at a speed of 400 mph. How long does it take the the second …
10. ### physics

You see some management students getting drunk at 1 PM in the quad. (Yes, this is an early wake up call for them.) You decide to tie a 2.00 daN water balloon on the end of a 1.00 m long light rope and start swinging it horizontally. …

More Similar Questions