A projectile is fired with velocity of 20 ms at an angle of 30 degree with horizontal, from height 100m.
find a)Time of flight ,b)Range
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Answer:
b. range is the correct answer
Explanation:
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Explanation:
Given that,
Speed u=20m/s
Angle θ=300
Height h=40m
Now, along y axis
uy=usin300
uy=20×21
uy=10m/s
Now, we know that
a=−10m/s2
s=−40m
Now, from equation of motion
s=uyt−21gt2
−40=10t−5t2
5t2−10t−40=0
t2−2t−8=0
t2−(4−2)t−8=0
t(t−4)+2(t−4)=0
(t+2)(t−4)
Now, neglect of negative value
So, t=4s
Now, the range is
R=ucos300×t
R=20×2
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