object is droped from height of 10m, its velocity at the moment it touches the ground?
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Answer:
= 14.1421356237 m/s
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Given :
Object is dropped from a height of 10 m , so
- Initial velocity of object, u = 0
- Distance covered by object to reach the ground, s = 10 m
- Acceleration due to gravity, a = g = 9.8 m/s²
To find :
- Velocity of object when it touches the ground, v = ?
Formulae required :
- Third equation of motion
2 a s = v² - u²
[ where a is acceleration, s is distance covered, v is final velocity and u is initial velocity of object ]
Calculation :
Using third equation of motion
→ 2 a s = v² - u²
→ 2 ( 9.8 ) ( 10 ) = v² - ( 0 )²
→ 196 = v²
→ v = 14 m/s
Therefore,
- Velocity of Object when it touches the ground will be 14 m/s .
Three equations of motion :
- First equation of motion
v = u + a t
- Second equation of motion
s = u t + 1/2 a t²
- Third equation of motion
2 a s = v² - u²
[ where a is acceleration, s is distance covered, v is final velocity, t is time taken and u is initial velocity of object ]
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