A particle is projected with velocity u at an angle θ with the vertical. Show that its path is parabolic. If the velocity of the projection of the particle is doubled, what is the percentage change in maximum height attained by projectile
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19.6m
times taken to reach P is 1s therefore
v2=u2+2aS
v2=u2cos2θ−2gh
let the distance from P to reach at the top be x
v2=u2+2as
0=u2cos2θ−2gh−2gx
x=2gu2cos2θ−h
time taken is v=u+at
0=ucosθ−g−gt
t=gucosθ−1
time taken to reach top from P is 1s
2g=ucosθ
maximum height H=2gu2cos2θ as the verical component is ucosθ
therefore H=2g(2g)2=2g=19.6m
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