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Q.

A projectile has the maximum range of 400m. If it is pushed up smooth inclined plane of angle 30° with the same speed, the distance travelled by it along the inclined plane will be 

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a

50 m 
 

b

400 m 
 

c

200 m 
 

d

100 m 
 

answer is C.

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Detailed Solution

Maximum range is obtained at 45° angle of projection.

Rmax=u2/g ⇒400=u210 ⇒u2=4000

Acceleration along inclined plane is gsin300 along down the plane.

0=u2-2g×12S

⇒S=400m

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A projectile has the maximum range of 400m. If it is pushed up smooth inclined plane of angle 30° with the same speed, the distance travelled by it along the inclined plane will be