Q17 of 43 Page 85

If H1 and H2 be the greatest heights of a projectile in two paths for a given value of range then what is the horizontal range of the projectile in terms of H1 and H2?

Let u be the initial speed.

At the highest point, the vertical component of velocity is zero.


If θ is the angle with horizontal, then


Now, at max height a = –g


Using the equations of motion:





If α is the angle between the vertical,


Now, using the equations of motion:





Now,




Now we know that Horizontal range =



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