A body is projected at an angle so that its range is maximum. If T is the time of flight, then the value of maximum range is (acceleration due to gravity =g )

Step-by-step solution

We know that, Range of projectile R= u^2 2 g As range is maximum, =45^ R_ = u^2 2 45 g = u^2 g Flight time of projectile, T= 2 u 45^ g aligned & = 2 u 2 g = 2 u g or u & = T g 2 aligned or Putting these value of u in Eq. (i), we get aligned & R_ = 1 g ( T g 2 )^2 & R_ = 1 2 g T^2 aligned