1
NEET 2023 Manipur
MCQ (Single Correct Answer)
+4
-1

The position of a particle is given by

$$\vec{r}(t)=4 t \hat{i}+2 t^2 \hat{j}+5 \hat{k}$$

where $$\mathrm{t}$$ is in seconds and $$\mathrm{r}$$ in metre. Find the magnitude and direction of velocity $$v(t)$$, at $$t=1 \mathrm{~s}$$, with respect to $$\mathrm{x}$$-axis

A
$$4 \sqrt{2} \mathrm{~ms}^{-1}, 45^{\circ}$$
B
$$4 \sqrt{2} \mathrm{~ms}^{-1}, 60^{\circ}$$
C
$$3 \sqrt{2} \mathrm{~ms}^{-1}, 30^{\circ}$$
D
$$3 \sqrt{2} \mathrm{~ms}^{-1}, 45^{\circ}$$
2
NEET 2023
MCQ (Single Correct Answer)
+4
-1

A vehicle travels half the distance with speed $$v$$ and the remaining distance with speed $$2 v$$. Its average speed is :

A
$$\frac{2 v}{3}$$
B
$$\frac{4 v}{3}$$
C
$$\frac{3 v}{4}$$
D
$$\frac{v}{3}$$
3
NEET 2022 Phase 2
MCQ (Single Correct Answer)
+4
-1

The position-time (x - t) graph for positive acceleration is

A
B
C
D
4
NEET 2022 Phase 1
MCQ (Single Correct Answer)
+4
-1

The ratio of the distances travelled by a freely falling body in the 1st, 2nd, 3rd and 4th second

A
1 : 2 : 3 : 4
B
1 : 4 : 9 : 16
C
1 : 3 : 5 : 7
D
1 : 1 : 1 : 1
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