The correct option about the free fall motion is "10 m".
What is free fall motion?
A vertically oriented uniformly accelerated motion is referred to as "free-fall" motion. We refer to a vertical movement of an object either upward or downward as being in free fall.
What are the three equations of motion under uniform acceleration?
- v = u + at ----------1)
- s = ut + (1/2)at² ----------2)
- v² - u² = 2as ----------3)
How to solve this question?
We have given initial velocity (u) as 14 m/s
and we have to find out the maximum height (s)
We know that at maximum height the final velocity (v) will become 0
and acceleration will always be act toward downward
with the value of g = 9.8 m/s²
Applying the first equation
0 = 14 - 9.8t
9.8t = 14
t = 14/9.8 seconds
t = 1.4 seconds
Applying the second equation
s = 14 × 1.4 + ( (1/2) × (-10) × (1.4)² )
s = 19.6 - ( 5 × 1.96 )
s = 19.6 - 9.8
s = 9.8 m
s ≈ 10 m
Thus, we can conclude that if we throw a water balloon straight up with initial velocity of 14 m/s then the balloon will attain the maximum height of 10 m.
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