When an object is shot from the bottom of a long smooth inclined plane kept at an angle 60 ° with horizontal…

When an object is shot from the bottom of a long smooth inclined plane kept at an angle 60° with horizontal, it can travel a distance x1 along the plane. But, when the inclination is decreased to 30° and the same object is shot with the same velocity, it can travel x2 distance. Then x1:x2 will be
  1. 1:2
  2. 2:1
  3. 1:3
  4. 1:23

Solution

The equation of motion in exclusive
v2=2gsin60°x1 (1)
v2=2gsin30°x2
Equating, 
2gsin60°x1=2gsin30°x2
x1:x2=1:3

Asked in: NEET 2019 (All India)

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