# Suvat's equation proof?

A ball is projected in the air with initial speed u and goes up and down with acceleration g downwards. A timer is at height h. It records the time from the ball being projected until it passes the timer on the way up as t1 and on the way down as t2. Show that the total of the two times is independent of h and that...
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A ball is projected in the air with initial speed u and goes up and down with acceleration g downwards. A timer is at height h. It records the time from the ball being projected until it passes the timer on the way up as t1 and on the way down as t2. Show that the total of the two times is independent of h and that the initial speed can be calculated as u = g(t1 + t2)/2. Show also that the difference between the times is given by [2√(u² - 2gh)]/g. Hence, find a formula for h in terms of t1, t2 and g.

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