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Question

A body is thrown with velocity of 40 m/s in a direction making an angle of 300 with the horizontal.
Calculate i) Horizontal range, ii) Maximum height and iii) Time taken to reach the maximum height.

A
(a)131.4m
(b)20.41m
(c)2.041s
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B
(a)121.4m
(b)24.41m
(c)2.091s
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C
(a)141.4m
(b)20.41m
(c)2.041s
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D
(a)161.4m
(b)10.41m
(c)2.051s
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Solution

The correct option is C (a)141.4m
(b)20.41m
(c)2.041s

R.E.F image
u=40m/s
θ=30
g=9.81
Time of flight, T=2usinθg
Maximum Height, H=u2sin2θ2g
Horizontal Range, R=u2sin2θg
Time taken to reach the
max.height, t =T2
4=(40)2(sin30)22×9.8=20.408m
=20.41m
R=(40)2sin2×309.8=141.4m
t=I2=usin3θg=2.041s
Ans =141.4m,20.41m,2.041s (C)


1166240_1276453_ans_9693d1c8ff2c4411804228fddb5ef02c.jpg

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