A balL is thrown with a velocity of 12m/s at an elevation angle of 30

1.	A balL is thrown with a velocity of 12m/s at an elevation angle of 30 from the top Of a tower with height 61m. Find the time taken by it to reach the ground. At what distance from the foot of the to were will it hit the ground?
Answer» component of velocity in the vertical-upward direction is, v=50sin(30 0 )=50×0.5=25m/s Let the time TAKEN to reach GROUND from initial position be t sec The acceleration DUE to GRAVITY is, g=10m/s 2 , in the vertical-downward direction. and the DISTANCE traveled is, h=70m, in the vertical-downward direction. So here, h=−vt+ 2 1 gt 2 ⟹70=−25t+(0.5×10×t 2 ) ⟹t 2 −5t−14=0 Solving above quadratic equation, we get t=−2,7 As time is always positive, t=7s

A balL is thrown with a velocity of 12m/s at an elevation angle of 30 from the top Of a tower with height 61m. Find the time taken by it to reach the ground. At what distance from the foot of the to were will it hit the ground?

Answer»

component of velocity in the vertical-upward direction is,

v=50sin(30

)=50×0.5=25m/s

Let the time TAKEN to reach GROUND from initial position be t sec

The acceleration DUE to GRAVITY is, g=10m/s

, in the vertical-downward direction.

and the DISTANCE traveled is, h=70m, in the vertical-downward direction.

So here, h=−vt+

⟹70=−25t+(0.5×10×t

)

⟹t

−5t−14=0

Solving above quadratic equation, we get t=−2,7

As time is always positive, t=7s

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A balL is thrown with a velocity of 12m/s at an elevation angle of 30 from the top Of a tower with height 61m. Find the time taken by it to reach the ground. At what distance from the foot of the to were will it hit the ground?

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