The displacement $(x)$ of a particle depends on time $t$ as $x=\alpha t^2-\beta t^3$. Choose the incorrect statements from the following.
The displacement $(x)$ of a particle depends on time $t$ as $x=\alpha t^2-\beta t^3$. Choose the incorrect statements from the following.
- A
The particle never returns to its starting point
- B
The particle comes to rest after time $\frac{2 \alpha}{3 \beta}$
- C
The initial acceleration of the particle is zero
- D
$(a)$ and $(c)$ Only
Similar Questions
Which of the following speed-time $(v-t)$ graphs is physically not possible?
Which of the following speed-time $(v-t)$ graphs is physically not possible?
The distance-time graph of a particle at time $t$ makes angle $45^{\circ}$ with the time axis. After one second, it makes angle $60^{\circ}$ with the time axis. What is the average acceleration of the particle?
The distance-time graph of a particle at time $t$ makes angle $45^{\circ}$ with the time axis. After one second, it makes angle $60^{\circ}$ with the time axis. What is the average acceleration of the particle?
Given below are two statements:
Statement $I:$ Area under velocity- time graph gives the distance travelled by the body in a given time.
Statement $II:$ Area under acceleration- time graph is equal to the change in velocity- in the given time.
In the light of given statements, choose the correct answer from the options given below.
Given below are two statements:
Statement $I:$ Area under velocity- time graph gives the distance travelled by the body in a given time.
Statement $II:$ Area under acceleration- time graph is equal to the change in velocity- in the given time.
In the light of given statements, choose the correct answer from the options given below.
- [JEE MAIN 2023]
The correct statement from the following is
The correct statement from the following is
The area under acceleration-time graph gives
The area under acceleration-time graph gives