A person can throw a ball with a maximum speed 'u' (in any direction, any angle) It was
observed that the maximum height at which the person can throw the ball (along the horizontal
direction) at a maximum distance is 100 m. How high he can through the same ball if he is NOT
permitted to change the angle of projection
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11th
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Motion in a Plane
Projectile Motion
A cricketer can throw a bal...
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Asked on November 22, 2019 by
Premlata Babbar
A cricketer can throw a ball to a maximum horizontal distance of 100 m. How much high above the ground can the cricketer throw the same ball ?
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ANSWER
Maximum horizontal distance, R=100m
The cricketer will only be able to throw the ball to the maximum horizontal distance when the angle of projection is 45
∘
, i.e., =45
∘
.
The max horizontal range for a projection velocity v is given by the relation:
R
max
=
g
u
2
100=
g
u
2
The ball will achieve the maximum height when it is thrown vertically upward. For such motion, the final velocity v is zero at the maximum height H.
Acceleration, a=g
Using the third equation of motion:
v
2
−u
2
=−2gH
H=u
2
/2g=100/2=50m
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A body is projected from the ground with a velocity
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j
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)ms
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. The maximum height attained and the range of the body respectively are (given g=10 ms
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