- 1(current)
Q. No.The position vector of a particle changes with time according to the relation,
\(\vec{r}(t)=(15 t^2) \hat{i}+\left(4-20 t^2\right) \hat{j},\) where \(\vec{r}(t)\) is in metres and \(t\) is in seconds.
What is the magnitude of the acceleration at \(t=1\) second?
\(\vec{r}(t)=(15 t^2) \hat{i}+\left(4-20 t^2\right) \hat{j},\) where \(\vec{r}(t)\) is in metres and \(t\) is in seconds.
What is the magnitude of the acceleration at \(t=1\) second?
| 1. | \(100\) m/s2 | 2. | \(40\) m/s2 |
| 3. | \(50\) m/s2 | 4. | \(25\) m/s2 |
Subtopic: Acceleration |
84%
Level 1: 80%+
JEE
Please attempt this question first.
Hints
Please attempt this question first.
The position vector of a particle is expressed as: \(\overrightarrow{r}\left({t}\right){=}({8}{t}\hat{i}{+}{5}{t}^{2}\hat{j}{+}{6}\hat{k}).\) Which of the following statements correctly describes the direction of the particle’s acceleration?
| 1. | It is directed along the positive \({y \text-}\)axis. |
| 2. | It is directed along the positive \({x \text-}\)axis. |
| 3. | It is equally inclined to the \(x\) and \({y \text-}\)axis. |
| 4. | It is directed along the positive \({z \text-}\)axis. |
Subtopic: Acceleration |
72%
Level 2: 60%+
Please attempt this question first.
Hints
Please attempt this question first.
- 1(current)
Q. No.
© 2025 GoodEd Technologies Pvt. Ltd.