From the top of tower 40m high, a projectile is thrown up with a velocity of 10 m/s, at an angle 45° with the horizontal. The horizontal distance where projectile strikes the ground.
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From the top of tower 40 m high, a projectile is thrown up with a velocity of 10
2
m/s, at an angle 45
o
with the horizontal
The time taken by it to reach the ground
Hard
Solution
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Correct option is A)
Initial velocity of projectile at 45
∘
with the horizontal =u=10
2
m/s
Vertical component of velocity ⇒u
y
⇒u
y
=10 m/s
Height of tower =40 m
Eq
n
of motion ⇒S=ut+
2
1
at
2
⇒−40=10t−
2
1
×10t
2
[g=10 m/s
2
].
⇒−40=10t−5t
2
⇒5t
2
−10t−40=0
⇒t
2
−2t−8=0
⇒(t+2)(t−4)=0
⇒t=−2 and t=4s
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