Question

A projectile has the maximum range of 400m. If it is pushed up smooth inclined plane of angle 30 degree
with the same speed, the distance travelled by it along the inclined plane will be
1 200 m
2) 100 m
3) 400 m
4) 50 m
​

Answer 1

Answer:

1no. 1..............

Answer 2

Answer:

Maximum range is obtained at 45° angle of projection.

• Rmax = u² / g

• 400 = u² / 10

• u² = 4000

• u = 20√10 m/s

Acceleration along inclined plane is

• a = -gsinθ

• a = -10 × sin30°

• a = -10 × 1/2

• a = -5 m/s²

Let s be distance travelled by projectile on inclined plane.

• v² = u² + 2as

• 0² = 4000 + 2×(-5)×s

• s = 4000 / 100

• s = 400 m

Final Answer:-

• Distance travelled by projectile on inclined plane is 400 m.