Kinematics 5 Question 2
4. A plane is inclined at an angle with respect to the horizontal. A particle is projected with a speed , from the base of the plane, making an angle with respect to the plane as shown in the figure. The distance from the base, at which the particle hits the plane is close to
[Take,
(2019 Main, 10 April I)
(a)
(b)
(c)
(d)
Show Answer
Answer:
Correct Answer: 4. (b)
Solution:
- When a projectile is projected at an angle
with an inclined plane making angle with the horizontal, then
Components of
We can also resolve acceleration due to gravity into its components along and perpendicular to plane as shown below
So, we can now apply formula for range, i.e. net horizontal displacement of the particle as
where,
Using formula for time of flight, we have
From Eqs. (i) and (ii), we have
Range up the inclined plane is
Here,
So,
Now,