speed vms-1 at an angle of elevation theta above the horizontal and it moves freely under gravity. The horizontal and upward vertical displacements of the particle from O at any subsequent time, t seconds, are x m and y m respectively. i) express y and x in terms of theta and t, and hence show that: y= xtantheta - 4.9x^2/ v^2cos^2theta   The particle subsequently passes through the point A with coordinates (h,-h) as shown in the diagram. It is given that v= 14 and theta= 30degrees ii) calculate h

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A particle is projected from point O with speed vms-1 at an angle of elevation theta above the horizontal and it moves freely under gravity. The horizontal and upward vertical displacements of the particle from O at any subsequent time, t seconds, are x m and y m respectively.

i) express y and x in terms of theta and t, and hence show that:

y= xtantheta - 4.9x^2/ v^2cos^2theta

 

The particle subsequently passes through the point A with coordinates (h,-h) as shown in the diagram. It is given that v= 14 and theta= 30degrees

ii) calculate h

040
A (h,-h)
Transcribed Image Text:040 A (h,-h)
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