Problem Set

Q. A stone is dropped from a height $h$. Another stone is thrown up simultaneously from the ground, which can reach to maximum height of $4h$. The two stones will cross each other after time

1. $\sqrt{\frac{h}{8g}}$
2. $\sqrt{8gh}$
3. $\sqrt{2gh}$
4. $\sqrt{\frac{h}{2g}}$

Q. Two cars, initially at a separation of $12\text{m}$, start simultaneously. First car $A$, starting from rest moves with an acceleration $2{\text{m/s}}^2$ , whereas the car $B$, which is ahead, moves with a constant velocity $1\text{m/s}$, away from car $A$ along the same direction. Find the time when car $A$ overtakes car $B$.

1. $4\text{s}$
2. $6\text{s}$
3. $5\text{s}$
4. $7\text{s}$

Q. A stone is dropped from a height $h$. Another stone is thrown up simultaneously from the ground, which can reach to maximum height of $4h$. The two stones will cross each other after time

1. $\sqrt{\frac{h}{8g}}$
2. $\sqrt{8gh}$
3. $\sqrt{2gh}$
4. $\sqrt{\frac{h}{2g}}$

Q. A stone is dropped from the top of a $400\text{m}$ high tower. At the same time another stone is projected vertically upwards from the ground with a speed of $50\text{m/s}$. The two stones will cross each other after a time

1. $2\text{s}$
2. $4\text{s}$
3. $6\text{s}$
4. $8\text{s}$

Q. A stone is dropped from the top of a $400\text{m}$ high tower. At the same time another stone is projected vertically upwards from the ground with a speed of $50\text{m/s}$. The two stones will cross each other after a time

1. $2\text{s}$
2. $4\text{s}$
3. $6\text{s}$
4. $8\text{s}$

Q. The acceleration (in $m/s^2$) of movable pulley P is and block B is , if acceleration of block $A=1{\text{m/s}}^2$ downwards.

Q. Two cars, initially at a separation of $12\text{m}$, start simultaneously. First car $A$, starting from rest moves with an acceleration $2{\text{m/s}}^2$ , whereas the car $B$, which is ahead, moves with a constant velocity $1\text{m/s}$, away from car $A$ along the same direction. Find the time when car $A$ overtakes car $B$.

1. $4\text{s}$
2. $6\text{s}$
3. $5\text{s}$
4. $7\text{s}$