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If the eq of trajectory of a projectile is given, how to find the time of its flight. For eg if eq of trajectory is y=ax -bx2 where y is height n x is horizontal dist from the pt of projection, how to get d time of flight??

If the eq of trajectory of a projectile is given, how to find the time of its flight. For eg if eq of trajectory is y=ax -bx2 where y is height n x is horizontal dist from the pt of projection, how to get d time of flight??

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1 Answers

Nitin Kushawaha
16 Points
11 years ago

Consider @ as Theta

The motion of trajectory is y=xtan@ - (1* g*x2) / 2 * u2cos2@

So, x = ucos@ *t  -- eqn.(1)

also, from eqn(1), we get

x / ucos@ = t;

so in the equation of trajectory, x2/u2cos2@ = t2

putting t2 in the equation of the trajectory we get,

y = xtan@ - (1/2 * g * t2)

also,  xtan@ = x* usin@/ucos@

solve like this u will get...

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