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given :
h = 97.0 m
g = 10.0m/s²
find:
a) t
b) Vt
solutions:
a)
h = ½.g.t²
97 = ½. 10.t²
97 = 5.t²
t² = 97/5 = 19.4
t =√19.4 = 4.4
the ball will remain in the air
for 4.4 s
b)
Vt = g. t
= 10 × 4,4
= 44 m/s
the balls speed before striking the ground
= 44 m/s