Projectile Motion (1 Viewer)

[Aerath]

Hey, sorta stuck on this question, any help is appreciated:

A stone is thrown so that it will hit a bird at the top of a pole. However, at the instant the stone is thrown, the bird flies away in a horizontal straight line at a speed of 10m/s. The stone reaches a height double that of the pole, and in its descent, touches the bird. Find the horizontal component of the velocity of the stone.

 

[lolokay]

say the projectory of the stone is represented by y=-Cx², so that the origin is the maximum point/height
if d is the distance the stone travels to get from a height of 2p (max) to p, then p = Cd².
The distance that the stone travels in going from 2p to the ground would then be rt2 d (same distance to get from ground to 2p)
So the total horizontal distance travelled by the stone is d + rt2 d, whereas the total distance travelled by the bird is 2d

They cover each of these distance in the same time, so you can then show that v_stone/d_stone = v_bird/d_bird

v_stone = 10(rt2 + 1)/2 m/s
= 12.07m/s

 

[zaefr]

next question: calculate the velocity required to kick DiligentStudent in the balls if he has any.

dont forget the air "being a dick" resistance

shove love, theres a new troll in town

 

[Aerath]

Horizontal component: 12m/s (2 sig fig.)

Lol, an easy question posted by a student who goes to a top 5 school. You're shit, GTFO forums please dumbshit.

Wow, I could've known that the answer was 12m/s just by looking at the back of the book. And given that you haven't done any working, you could've just taken the answer from lolokay. I would also like to thank you for promoting SBHS from 7th to Top 5. If only it was that easy. =P

Anyways, thanks lolokay.