Applications of Horizontal and Vertical Components

Q. Referring to the above two questions, the acceleration due to gravity is given by

1. $10m/se{c}^2$
2. $5m/se{c}^2$
3. $20m/se{c}^2$
4. $2.5m/se{c}^2$

Q. A ball is thrown vertically upwards from the top of a tower at 4.9 m/s. It strikes the pond near the base of the tower after 3 seconds. The height of the tower is

1. None of these
2. 73.5 m
3. 44.1 m
4. 29.4 m

Q.

A football is kicked at an angle θ = ${45}^{\circ }$. It is intended that the ball lands in the back of a moving truck, which has a trunk of length L = 5 m. If the initial horizontal distance from the back of the truck to the ball, at the instant of the kick is 5 m & the truck moves directly away from the ball at velocity V = 9 m/s. What is approximate maximum & minimum velocity (in m/s) so that ball lands on the truck? (Assume the ball & back of the truck to be at the same horizontal level)

1. (16, 17)

2. (16, 18)

3. (15, 17)

4. (15, 18)

Q.

Water drops fall at regular intervals from a tap which is 5m above the ground. The third drop is leaving the tap at the instant the first drop touches the ground. How far above the ground is the second drop at that instant

1. 1.25 m
2. 2.50 m
3. 3.75 m
4. 4.00 m

Q. A body is thrown vertically upwards. If air resistance is to be taken into account, then the time during which the body rises is

1. Equal to the time of fall
2. Less than the time of fall
3. Twice the time of fall
4. Greater than the time of fall

Q. A body is released from the top of a tower of height h. It takes t sec to reach the ground. Where will be the ball after time $\frac{t}{2}$ sec

1. At h/2 from the ground
2. Depends upon mass and volume of the body
3. At h/4 from the ground
4. At 3h/4 from the ground

Q.

A boy throws a ball with a velocity u at an angle θ with the horizontal. At the same instant he starts running with uniform velocity to catch the ball before it hits the ground. To achieve this, he should run with a velocity of :

1. 

2. 

3. 

4. 

Q.

Two seconds after projection a projectile is travelling in a direction inclined at ${30}^{\circ }$ to the horizontal after one more sec, it is travelling horizontally, the magnitude and direction of its velocity are

1. 

2. 

3. 

4. 

Q.

A particle of mass 100 g is fired with a velocity $20mse{c}^{-1}$ making an angle of ${30}^{\circ }$ with the horizontal. When it rises to the highest point of its path then the change in its momentum is

1. 

2. 

3. 

4. 

Q.

A body is projected up a smooth inclined plane (length = $20\sqrt{2}m$ ) with velocity u from the point M as shown in the figure. The angle of inclination is ${45}^{\circ }$ and the top is connected to a well of diameter 40 m. If the body just manages to cross the well, what is the value of v

1. 

2. 

3. 

4.