JEE Mains 2024 Kinematics PYQ | StudyBeacon

JEE Mains 2024 Kinematics PYQ | StudyBeacon

Practice important questions from the Kinematics section of JEE Mains 2024. Select your answers and click "Check Answer" to see your result and the detailed solution!

Q1. A body projected vertically upwards with a certain speed from the top of a tower reaches the ground in t_1. If it is projected vertically downwards from the same point with the same speed, it reaches the ground in t_2. Time required to reach the ground, if it is dropped from the top of the tower, is:

1. \sqrt{t_1 + t_2}
2. \sqrt{t_1 - t_2}
3. \sqrt{t_1 \cdot t_2}
4. \sqrt{\frac{t_1}{t_2}}

Q2. A particle moves in a straight line so that its displacement x at any time t is given by x^2 = 1 + t^2. Its acceleration at any time t is x^{-n}, where n = _____.

Q3. A body moves on a frictionless plane starting from rest. If S_n is the distance moved between t = n - 1 and t = n, and S_{n-1} is the distance moved between t = n - 2 and t = n - 1, then the ratio \frac{S_{n-1}}{S_n} is (1 - 2x) for n = 10. The value of x is ______.

Q4. Two cars are travelling towards each other at a speed of 20 m/s each. When the cars are 300 m apart, both drivers apply brakes and the cars retard at the rate of 2 \, \text{m/s}^2. The distance between them when they come to rest is:

1. 200 m
2. 50 m
3. 100 m
4. 500 m