Find the expression for the time of flight maximum height and horizontal range of projectile?

Question: Find the expression for the time of flight maximum height and horizontal range of projectile?

The time of flight (T) of a projectile can be expressed as T = 2u sin(θ)/g, where u is the initial velocity, θ is the launch angle, and g is the acceleration due to gravity. The maximum height (H) reached by the projectile is given by H = u^2 sin^2(θ)/(2g). Lastly, the horizontal range (R) can be calculated using R = u^2 sin(2θ)/g. These equations assume there is no air resistance and that the projectile lands at the same height from which it was launched.

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