Student Login

Home›Chapters›Motion in One Dimension PYQs›Motion Under Gravity›Question 36

JEE Main 2021 (26 Aug, Shift 1) · Motion Under Gravity

Motion Under Gravity question from JEE Main 2021 (26 Aug, Shift 1)

Q36JEE Main 2021 · 26 AUG · SHIFT 1Medium

Motion Under Gravity

Two spherical balls having equal masses with radius of 5 cm each are thrown upwards along the same vertical direction at an interval of 3s with the same initial velocity of 35 m/s, then these balls collide at a height of ............... m. (Take g = 10 m/s2)

Numerical answer type. Work it out, then open the answer.

Show answer and solution

Answer: 50

$y_1 = 35t - 5t^2$ , $y_2 = 35(t-3) - 5(t-3)^2$
Equal heights: $0 = -105 + 30t - 45 \Rightarrow t = 5\text{ s}$
Height $= 35(5) - 5(5)^2 = 175 - 125 = 50\text{ m}$ (the 5 cm radius is negligible).
Collision height $= 50\text{ m}$

Report a mistake

More questions on Motion Under Gravity

A balloon was moving upwards with a uniform velocity of 10 m/s. An object of finite mass…JEE Main 2021 (25 Jul, Shift 2)
A rubber ball is released from a height of 5 m above the floor. It bounces back…JEE Main 2021 (17 Mar, Shift 2)
A ball is thrown vertically downward with a velocity of 20 m/s from the top of a tower…NEET 2020 (Phase 1)
A person sitting in the ground floor of a building notices through the window, of height…NEET 2020 (Phase 2)
A ball is dropped from the top of a 100 m high tower on a planet. In the last 1/2 s…JEE Main 2020 (8 Jan, Shift 2)
A helicopter rises from rest on the ground vertically upwards with a constant…JEE Main 2020 (5 Sep, Shift 1)
A Tennis ball is released from a height h and after freely falling on a wooden floor it…JEE Main 2020 (4 Sep, Shift 1)
A person standing on the floor of an elevator drops a coin. The coin reaches the floor in…NEET 2019