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# M2 maths help! (projectiles) watch

1. A tennis ball is served horizontally at a speed of 24m/s from a height of 2.7m. The net is 1m high and 12m horizontally from the server. Model the ball as a particle and hence determine whether the ball cclears the net and if so by what distance.

how do we do this?
2. Resolve SUVAT vertically and horizontally (suvat is displacement, initial velocity, final velocity, acceleration, time) to find the vertical displacement when the horizontal displacement is 12m.
If vertical displacement > 1m, it gets over the net.
3. A tennis ball is served horizontally at a speed of 24m/s from a height of 2.7m. The net is 1m high and 12m horizontally from the server. Model the ball as a particle and hence determine whether the ball cclears the net and if so by what distance.

how do we do this?
Treat the ball as an object travelling horizontally at 24m/s and accellerating downwards at g (9.8ms-2). Use the relevant SUVAT equations (s = ut + 0.5at^2 looks good, with the time being found by asking how long a ball travelling at 24m/s will take to get to a net 12m away)

from this you work out how far the ball has fallen vertically in the time it takes to get to the net, so then you know whether it clears it or not...

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Updated: February 2, 2010
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