Answer :
The time taken by the ball to reach the maximum height when ball is thrown straight upward is t = 1.5s.
Equation :
To find the time we must know the distance so to calculate the distance using formula,
v² = u² + 2 as
where,
v is final velocity
u is initial velocity
a is acceleration due to gravity
s is distance
As, we can see,
u = v = 30m/s
a = - 9.8 m/s²
s = ?
So, putting the values we get,
30²m/s = 30²m/s + 2 (9.8 m/s²) s
s = 30²m/s / 30²m/s + 2 (-9.8 m/s²)
s = 19.6
Now after getting to know the distance we can use the formula,
s = d/t
Where,
s is speed
d is distance
t is time
So, putting the values,
t = 30 / 19.6
t = 1.5s
Hence, the time taken by the ball to reach the maximum height is 1.5s.
To know more about acceleration due to gravity :
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