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
Rmax =
= 250 ⇒ u = 50 m/sec.T = 1/2 Tmax. possible
⇒ sin θ =
⇒ θ = 30oLeast speed during flight = u cos θ = 50 cos30 = 25√3
Create a free account to view solution
View Solution FreeMore Kinematics Questions
Relation between velocity and displacement is v = x2. Find acceleration at x = 3m :-...A particle has initial velocity and acceleration The magnitude of velocityafter 10 seconds will be...A ball is dropped from the top of a building. The ball takes The ball 0.5 s to fall the 3m length of a window some dista...A cart of mass 0.5 kg is placed on a smooth surface and is connected by a string to a block of mass 0.2 kg. At the initi...The SI unit of the inductance, the henry can by written as...