A hot-air balloon left the ground rising at 9 feet per second. 14 seconds later, Victoria threw a ball straight up to her friend Colleen in the balloon. At what speed did she throw the ball if it just made it to Colleen?
2026-03-25 22:30:42.1774477842
At what speed did she throw the ball if it just made it to her friend
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Let the time when Victoria throws the ball be t =0 So, equation for balloon will be
$$s = 126 + 9*t$$ and that for ball will be
$$ s_1 = u*t +1/2a*t^2$$ According to the question s = $s_1$ So,
$ 126 + (9-u) t = 16.1t^2$ --------(1)
Also according to question final velocity is zero so,
$t=-u/32.2$
Use this equation in (1) and solve the quadratic equation