Answer
The initial speed is 17 m/s and the maximum height is 14 meters.
Work Step by Step
The time to reach maximum height is 1.7 seconds.
The velocity v at maximum height is v = 0 m/s.
Therefore,
$v = v_0 + at$
$v_0 = v - at = 0 - (-9.80)\times(1.7) = 16.66\approx17 ~m/s$
$y = v_0t + \frac{1}{2}at^2 = 16.66\times1.7 + \frac{1}{2}(-9.80)(1.7)^2$
$y = 14.16\approx14 ~meters$
The maximum height is 14 meters.
