KinematicsHard

Question

From the ground level, a ball is to be shot with a certain speed. Graph shows the range R it will have versus the launch angle θ. The least speed the ball will have during its flight if θ is chosen such that the flight time is half of its maximum possible value, is equal to  (take g = 10 m/s2)

Options

A.250 m/s
B.50 √3 m/s
C.50 m/s
D.25√3 m/s

Solution

From the R v/s θ curve (for u = const.)
Rmax = = 250        ⇒ u = 50 m/sec.
T = 1/2 Tmax. possible

⇒ sin θ =     ⇒ θ = 30o
Least speed during flight = u cos θ     = 50 cos30    = 25√3

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