1
JEE Main 2024 (Online) 29th January Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

A particle is moving in a straight line. The variation of position '$$x$$' as a function of time '$$t$$' is given as $$x=\left(t^3-6 t^2+20 t+15\right) m$$. The velocity of the body when its acceleration becomes zero is :

A
6 m/s
B
10 m/s
C
8 m/s
D
4 m/s
2
JEE Main 2024 (Online) 29th January Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

A body starts moving from rest with constant acceleration covers displacement $$S_1$$ in first $$(p-1)$$ seconds and $$\mathrm{S}_2$$ in first $$p$$ seconds. The displacement $$\mathrm{S}_1+\mathrm{S}_2$$ will be made in time :

A
$$(2 p+1) s$$
B
$$(2 p-1) s$$
C
$$\left(2 p^2-2 p+1\right) s$$
D
$$\sqrt{\left(2 p^2-2 p+1\right)} s$$
3
JEE Main 2023 (Online) 15th April Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language
The position of a particle related to time is given by $x=\left(5 t^{2}-4 t+5\right) \mathrm{m}$. The magnitude of velocity of the particle at $t=2 s$ will be :
A
$14 \mathrm{~ms}^{-1}$
B
$16 \mathrm{~ms}^{-1}$
C
$10 \mathrm{~ms}^{-1}$
D
$06 \mathrm{~ms}^{-1}$
4
JEE Main 2023 (Online) 13th April Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

The distance travelled by an object in time $$t$$ is given by $$s=(2.5) t^{2}$$. The instantaneous speed of the object at $$\mathrm{t}=5 \mathrm{~s}$$ will be:

A
$$5 \mathrm{~ms}^{-1}$$
B
$$12.5 \mathrm{~ms}^{-1}$$
C
$$62.5 \mathrm{~ms}^{-1}$$
D
$$25 \mathrm{~ms}^{-1}$$
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