Select Chapter Topics:
Q. No.At \(t = 0,\) a body of mass \(100~\text{g}\) starts moving under the influence of a force \((5\hat{i}+ 10\hat{j})~\text{N}.\) After \(2~\text{s}\) its position is \((2x\hat{i}+5y\hat{j})~\text{m}.\)
The ratio \(x : y\) is:
1. \(1:2\)
2. \(2:5\)
3. \(5:2\)
4. \(5:4\)
The ratio \(x : y\) is:
1. \(1:2\)
2. \(2:5\)
3. \(5:2\)
4. \(5:4\)
Subtopic: Acceleration |
75%
Level 2: 60%+
Please attempt this question first.
Hints
Please attempt this question first.
If \(x\) and \(y\) coordinates of a projectile as a function of time \((t)\) are given as \(24t\) and \(43.6t - 4.9t^{2}, \) respectively, then the angle (in degrees) made by the projectile with horizontal when \(t =2~\text{s}\) is:
1. \(60\)
2. \(45\)
3. \(30\)
4. \(75\)
1. \(60\)
2. \(45\)
3. \(30\)
4. \(75\)
Subtopic: Projectile Motion |
83%
Level 1: 80%+
Please attempt this question first.
Hints
Please attempt this question first.
A gun mounted on the ground fires bullets in all directions with same speed. The farthest distance the bullets could reach is \(6.4~\text{m}.\) The speed of bullets from the gun is: (in m/s)
(take \(g = 10~\text{m/s}^2\))
1. \(6.4\)
2. \(8\)
3. \(12\)
4. \(19\)
(take \(g = 10~\text{m/s}^2\))
1. \(6.4\)
2. \(8\)
3. \(12\)
4. \(19\)
Subtopic: Projectile Motion |
90%
Level 1: 80%+
Please attempt this question first.
Hints
Please attempt this question first.
The velocity of particle is given as \(\vec{v}=-x \hat{i}+2 y \hat{j}-z \hat{k} ~\text{m/s}.\) The magnitude of acceleration at point \((1,2,4)\) is: (in \(\text{m/s}^2\))
1. \(\sqrt{6}\)
2. \(9\)
3. \(\sqrt{33}\)
4. \(0\)
1. \(\sqrt{6}\)
2. \(9\)
3. \(\sqrt{33}\)
4. \(0\)
Subtopic: Acceleration |
Level 3: 35%-60%
Please attempt this question first.
Hints
Please attempt this question first.
A car moving with a speed of \(54~\text{km/h}\) takes a turn of radius \(20~\text{m}\). A simple pendulum is suspended from the ceiling of the car. Determined the angle made by the string of the pendulum with the vertical during the turning. (Take \(g=10~\text{m/s}^2\))
1. \(\tan ^{-1}(0.5)\)
2. \(\tan ^{-1}(0.75)\)
3. \(\tan ^{-1}(1.125)\)
4. \(\tan ^{-1}(0.25)\)
1. \(\tan ^{-1}(0.5)\)
2. \(\tan ^{-1}(0.75)\)
3. \(\tan ^{-1}(1.125)\)
4. \(\tan ^{-1}(0.25)\)
Subtopic: Circular Motion |
71%
Level 2: 60%+
Please attempt this question first.
Hints
Please attempt this question first.
Two identical bodies, projected with the same speed at two different angles cover the same horizontal range \(R\). If the time of these bodies are \(5~\text{s}\) and \(10~\text{s}\), respectively, then the value of \(R\) is: (in m) (Take \(g=10~\text{m/s}^2\))
1. \(250\)
2. \(25\)
3. \(500\)
4. \(125\)
1. \(250\)
2. \(25\)
3. \(500\)
4. \(125\)
Subtopic: Projectile Motion |
55%
Level 3: 35%-60%
Please attempt this question first.
Hints
Please attempt this question first.
The two projectiles are projected with the same initial velocities at the \(15^{\circ}\) and \(30^\circ\) with respect to the horizontal. The ratio of their ranges is \(1:x\). The value of \(x\) is:
1. \(\sqrt2\)
2. \(\sqrt3\)
3. \(2\sqrt3\)
4. \(\dfrac{1}{\sqrt2}\)
1. \(\sqrt2\)
2. \(\sqrt3\)
3. \(2\sqrt3\)
4. \(\dfrac{1}{\sqrt2}\)
Subtopic: Projectile Motion |
92%
Level 1: 80%+
Please attempt this question first.
Hints
Please attempt this question first.
A \(4~\text{kg}\) mass moves under the influence of a force \(\vec{F}=\left(4 t^3 \hat{i}-3 t \hat{j}\right)~ \text{N}\) where \(t\) is the time in second. If mass starts from origin at \(t=0\), the velocity and position after \(t = 2~\text{s}\) will be:
1. \(\vec{v}=3 \hat{i}+\dfrac{3}{2} \hat{j} ~~~\vec{r}=\dfrac{6}{5} \hat{i}+\hat{j}\)
2. \(\vec{v}=4 \hat{i}-\dfrac{3}{2} \hat{j}~~~~ \vec{r}=\dfrac{8}{5} \hat{i}-\hat{j}\)
3. \(\vec{v}=4 \hat{i}+\dfrac{5}{2} \hat{j} ~~~~\vec{r}=\dfrac{8}{5} \hat{i}+2 \hat{j}\)
4. \(\vec{v}=4 \hat{i}-\dfrac{3}{2} \hat{j} ~~~~\vec{r}=\dfrac{6}{5} \hat{i}-\hat{j}\)
1. \(\vec{v}=3 \hat{i}+\dfrac{3}{2} \hat{j} ~~~\vec{r}=\dfrac{6}{5} \hat{i}+\hat{j}\)
2. \(\vec{v}=4 \hat{i}-\dfrac{3}{2} \hat{j}~~~~ \vec{r}=\dfrac{8}{5} \hat{i}-\hat{j}\)
3. \(\vec{v}=4 \hat{i}+\dfrac{5}{2} \hat{j} ~~~~\vec{r}=\dfrac{8}{5} \hat{i}+2 \hat{j}\)
4. \(\vec{v}=4 \hat{i}-\dfrac{3}{2} \hat{j} ~~~~\vec{r}=\dfrac{6}{5} \hat{i}-\hat{j}\)
Subtopic: Speed & Velocity |
93%
Level 1: 80%+
Please attempt this question first.
Hints
Please attempt this question first.
A river of width \(200~\text{m}\) flows from west to east with a speed of \(18~\text{km/h}.\) A boat moves with a speed of \(36~\text{km/h}\) in still water. If the boat makes a round trip from one bank to the opposite bank and back, what are the minimum time taken for the journey and the net displacement along the river bank, respectively?
1. \(20~\text{s}~\text{and}~100~\text{m}~\)
2. \(40~\text{s}~\text{and}~0~\text{m}~\)
3. \(40~\text{s}~\text{and}~200~\text{m}~\)
4. \(40~\text{s}~\text{and}~100~\text{m}~\)
1. \(20~\text{s}~\text{and}~100~\text{m}~\)
2. \(40~\text{s}~\text{and}~0~\text{m}~\)
3. \(40~\text{s}~\text{and}~200~\text{m}~\)
4. \(40~\text{s}~\text{and}~100~\text{m}~\)
Subtopic: Relative Motion |
58%
Level 3: 35%-60%
Please attempt this question first.
Hints
Please attempt this question first.
A projectile is thrown upward at an angle \(60^\circ\) with the horizontal. The speed of the projectile is \(20~\text{m/s}\) when its direction of motion is \(45^\circ\) with the horizontal. The initial speed of the projectile is:
1. \(40\sqrt{2}\) m/s
2. \(40\) m/s
3. \(20\sqrt{3}\) m/s
4. \(20\sqrt{2}\) m/s
1. \(40\sqrt{2}\) m/s
2. \(40\) m/s
3. \(20\sqrt{3}\) m/s
4. \(20\sqrt{2}\) m/s
Subtopic: Projectile Motion |
80%
Level 1: 80%+
Please attempt this question first.
Hints
Please attempt this question first.
Select Chapter Topics:
© 2026 GoodEd Technologies Pvt. Ltd.