Calculating Body Projection: Time, Height & Range

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SUMMARY

The discussion focuses on calculating the body projection of an object launched from ground level with an initial speed of 24 m/s at a 30-degree angle. The calculations confirm that the time taken to reach the highest point is 1.2 seconds, the greatest height reached is 7.2 meters, and the horizontal range is 49.9 meters. These results are validated under the assumption of gravity being 10 m/s², with air resistance neglected.

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A body is projected from ground level with a speed of 24 m/s at an angle of 30 degrees above the horizontal. Neglect air resistance and take gravity to be 10 m/s. Calculate:

a) The time taken to reach its highest point
b) The greatest height reached
c) The horizontal range of the body

a) v = u + at
0 = 12 + (-10 x t)
10t = 12
t = 1.2 seconds

b) s = ut + 1/2at^2
s = (12 x 1.2) + (1/2 x -10 x 1.2^2)
s = 7.2 m

c) s = Vertical Velocity (cos 30 x 24) x t

t = 2.4

s = 49.9 m

I tried them, but I am not sure if I made any mistakes.

Can anyone help me?

Thanks!
 
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Those answers are all correct (assuming g = -10).
 

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