The answer is 56.98 m
The dislocation (d) is:
d = v1 t + 1/2 a t²
v1 - initial velocity
t - time
a - acceleration of gravity
We know:
d = ?
v1 = ?
t = 6.82 s / 2 = 3.41 (it reaches the peak at half time)
a = - 9.8 m/s²
Let's first calculate v1:
v2 = v1 + at
v2 - final velocity (v2 = 0 when it reaches peak)
0 = v1 + -9.8 3.41
0 = v1 - 33.418
v1 = 33.418 m/s
d = v1 t + 1/2 a t²
d = 33.418 3.41 + 1/2 -9.8 3.41²
d = 113.96 - 56.98
d = 56.98 m
