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Question

A body thrown up along a frictionless inclined plane of angle of inclination 30 covers a distance of 40 m along the plane. If the body id projected with the same speed at an angle of 30 with the ground, it will have a range of
(Take g=10 ms2)


  1. 20 m

  2. 40 m

  3. 202 m

  4. 203 m


Solution

The correct option is D

203 m


Let u be the initial speed with which the body is thrown along the inclined plane. As shown in the figure , the effective deceleration is given by 
a=gsin θ=g sin 30=g2=5 ms2

Now, from the third equation of motion,
v2=u22as
0=u22×5×40
u=20 m/s
A projectile projected at angle θ=30 with this speed will have a range of
R=u2 sin 2 θg=20×20×sin 6010=203 m
Hence the correct choice is (c).

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