The Student Room Group

M1 Projectiles

Reena is learning to serve in tennis, She hits the ball from a height of 2m. For her serve to be legal it must pass over the net which is 12m away from her and 0.91m high, and it must land within 6.4m of the net.

(She hits the ball horizontally,
Ignore air resistance,
Treat the ball as a particle,
Ball does not spin,
Hits the ball straight down the middle of the court)

1) How long does the ball take to fall to the level of the top of the net?
2) How long does the ball take from being hit to first reaching the ground?
3) What is the lowest soeed with which Reena mush hit the bal to clear the net?
4) What is the greatest speed with which she may hit it if it is to land within 6.4m of the net.

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Im pretty much self-teaching myself this chapter, any help is much appreciated!
Reply 1
Another one, confused how to work this out :s-smilie:

A stunt motorcycle rider attempts to jump over a gorge 50m wide. He uses a ramp at 25degrees to the horizontal for his take-off and has a speed of 30m/s at this time. The stunt man actually believes that in any jump the ffect of air resistance is to reduce his distance y 40%.

1) Calculate his minimum safe take-off speed for this jump.
Reply 2
Reena? Thats not even a proper name.

1) use s=ut+0.5at^2, with s =1.09, u=0, a=9.8

2) the same as above, but with s=2

3) derive y=4.9(x/u)^2, by eliminating time from the vertical and horizontal motions, which must be leq 1.09 (i'm working upside down), when x=12. solve.

4) again, with x<18.4, y=2
Reply 3
i don't get the second question. if we know he's going at 30ms^-1, why do we need to calculate anything. unless we want to fidn out if he is about to die or not...

he needs a range of 50/0.6=83.33m in our non-air resistance model. derive cartesian equation, x>83.33 when y=0, or get the equation for the range in some other way, which is R = u^2 sin2theta /g, then make u the subject...