1
JEE Main 2022 (Online) 28th July Evening Shift
+4
-1

At time $$t=0$$ a particle starts travelling from a height $$7 \hat{z} \mathrm{~cm}$$ in a plane keeping z coordinate constant. At any instant of time it's position along the $$\hat{x}$$ and $$\hat{y}$$ directions are defined as $$3 \mathrm{t}$$ and $$5 \mathrm{t}^{3}$$ respectively. At t = 1s acceleration of the particle will be

A
$$-30 \hat{y}$$
B
$$30 \hat{y}$$
C
$$3 \hat{x}+15 \hat{y}$$
D
$$3 \hat{x}+15 \hat{y}+7 \hat{z}$$
2
JEE Main 2022 (Online) 28th July Morning Shift
+4
-1

A NCC parade is going at a uniform speed of $$9 \mathrm{~km} / \mathrm{h}$$ under a mango tree on which a monkey is sitting at a height of $$19.6 \mathrm{~m}$$. At any particular instant, the monkey drops a mango. A cadet will receive the mango whose distance from the tree at time of drop is: (Given $$g=9.8 \mathrm{~m} / \mathrm{s}^{2}$$ )

A
5 m
B
10 m
C
19.8 m
D
24.5 m
3
JEE Main 2022 (Online) 27th July Evening Shift
+4
-1

The velocity of the bullet becomes one third after it penetrates 4 cm in a wooden block. Assuming that bullet is facing a constant resistance during its motion in the block. The bullet stops completely after travelling at (4 + x) cm inside the block. The value of x is :

A
2.0
B
1.0
C
0.5
D
1.5
4
JEE Main 2022 (Online) 27th July Morning Shift
+4
-1

A bullet is shot vertically downwards with an initial velocity of $$100 \mathrm{~m} / \mathrm{s}$$ from a certain height. Within 10 s, the bullet reaches the ground and instantaneously comes to rest due to the perfectly inelastic collision. The velocity-time curve for total time $$\mathrm{t}=20 \mathrm{~s}$$ will be:

(Take g = 10 m/s2).

A
B
C
D
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