Physics · 2022
JEE Main · 25 June 2022, Shift 2 · Q32
Two buses P and Q start from a point at the same time and move in a straight line and their positions are represented by X_P(t)=α t+β t^2 and…
Two buses $\displaystyle P$ and $\displaystyle Q$ start from a point at the same time and move in a straight line and their positions are represented by $\displaystyle X_P(t)=\alpha t+\beta t^2$ and $\displaystyle X_Q(t)=f t-t^2$. At what time, both the buses have same velocity ?
Official answer
(4)
$\displaystyle \frac{f-\alpha}{2(1+\beta)}$
More from Motion in One Dimension
- A body is moving with constant speed, in a circle of radius 10 m. The body completes one revolution in 4 s. At the end of 3rd second, the…2023
- Given below are two statements: Statement I: Area under velocity- time graph gives the distance travelled by the body in a given time. Statement II:…2023
- 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…2024
- 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=…2024
- A body starts moving from rest with constant acceleration covers displacement S_1 in first (p-1) seconds and S_2 in first p seconds. The displacement…2024
- A train starting from rest first accelerates uniformly up to a speed of 80 km / h for time t, then it moves with a constant speed for time 3 t. The…2024
- The motion of an airplane is represented by velocity-time graph as shown below. The distance covered by airplane in the first 30.5 second is ____ km.2025
- From the top of a tower, a ball is thrown vertically upward which reaches the ground in 6 s. A second ball thrown vertically downward from the same…2022
JEE Main 2022 Physics question, with the answer from NTA’s final answer key. Where our answers come from.