Question 1145065
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What part of the problem do you need help with?<br>
You are given a formula for the height h as a function of time t:<br>
{{{h = 2+9t-5t^2}}}<br>
You are then given a height (4m) and asked to find the times t when the ball is that height:<br>
{{{4 = 2+9t-5t^2}}}<br>
That's a quadratic equation.  Put it in standard form and solve by your favorite method.<br>
{{{5t^2-9t+2 = 0}}}<br>
That one will factor....<br>
{{{(5t-1)(t-2) = 0}}}<br>
Can you finish?<br>
(If you weren't able to see that the quadratic was factorable, you can always solve any quadratic equation using the quadratic formula....)