Range

Q. Which of the following sets of factors will affect the horizontal distance covered by an athlete in a long–jump event

1. The force with which he pushes the ground and his speed
2. Speed before he jumps and his weight
3. The direction in which he leaps and the initial speed
4. None of these

Q.

A ball is thrown from ground level of a field with a speed of 12.0 m/s at an angle of ${45}^{\circ }$ with the horizontal. At what distance will it hit the field again? Take g = 10.0 m/$s^2$.

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Q. On seeing enemy ships at a distance of 125$\sqrt{3}$ m from the shore the cannons start firing fireballs. If the cannons fire at a speed of 50 m/s then at what angle should they aim so they do not miss. Also at what angle can the cannons achieve the maximum distance?

1. Angle to destroy ships = 45°; Angle for maximum range = 90°

2. Angle to destroy ships = 30°; Angle for maximum range = 45°

3. Angle to destroy ships = 60°; Angle for maximum range = 45°

4. Angle to destroy ships = 90°; Angle for maximum range = 90°

Q. The range of a particle when thrown at angle of ${15}^{\circ }$ with the horizontal is 1.5 km. What maximum range can the particle achieve if speed of projection is kept constant?

1. 1.5 km

2. 3.0 km

3. 6 km

4. 0.75 km

Q.

Two particles A & B are projected with same speed so that the ratio of their maximum height reached is 3:1. If the speed of A is doubled without altering other parameters, the ratio of their horizontal ranges is

1. 1:1

2. 2:1

3. 4:1

4. 3:2

Q.

A projectile fired with initial velocity u at some angle $\theta$ has a range R. If the initial velocity be doubled at the same angle of projection, then the range will be

1. $2R$

2. $R$

3. $\frac{R}{2}$

4. $4R$

Q.

An aeroplane moving horizontally with a speed of 720 km/h drops a food pocket, while flying at a height of 396.9 m. the time taken by a food pocket to reach the ground and its horizontal range is (Take g = 9.8 m/$se{c}^2$)

1. 3 sec and 2000 m

2. 5 sec and 500 m

3. 8 sec and 1500 m

4. 9 sec and 1800 m

Q.

Four bodies P, Q, R and S are projected with equal velocities having angles of projection ${15}^{\circ },{30}^{\circ },{45}^{\circ }and{60}^{\circ }$ with the horizontal respectively. The body having shortest range is

1. P

2. Q

3. S

4. R

Q.

A particle covers 50 m distance when projected with an initial speed. On the same surface it will cover a distance, when projected with double the initial speed

1. 100 m

2. 150 m

3. 200 m

4. 250 m

Q.

Galileo writes that for angles of projection of a projectile at angles (45 + $\theta$) and (45 - $\theta$), the horizontal ranges described by the projectile are in the ratio of (if $\theta$ < 45)

1. 1 : 1

2. 1 : 2

3. 2 : 3

4. 2 : 1