a projectile is projected at an angle theta with the horizontal,if T is the time of flight and R is the horizontal range,then prove
T=sqrt(2Rtantheta/g) tantheta=gT^2/2R

Dear Student,

Please find below the solution to the asked query:

The equations for the time period and range are,

T=2u sin θg and R=u2 sin 2θgSo from the range equation,u2=Rgsin 2θu=Rgsin 2θNow,T=2 sin θgRgsin 2θ=4 sin2 θg2×Rgsin 2θT=2 sin θg×Rcos θT=2R tan θgT2=2R tan θgtan θ=T2g2R

Hope this information will clear your doubts about the topic.

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