Question

bomb is dropped from an aero plane when it is at a height h directly above a target. If the aero plane is moving horizontally at a speed v, the distance by which the bomb will miss the target is given by

Solution

Correct option is

 

The time taken by the bomb to hit the ground is given by (as shown above)

                         

Now, the horizontal speed of the aeroplane (and also of the bomb) is v.

∴                 Horizontal range = horizontal velocity × t

                                             

SIMILAR QUESTIONS

Q1

The maximum height attained by a projectile and its horizontal range are equal to each other if the projectile is projected at an angle θ given by

Q2

When a projectile is at the highest point of its trajectory, the directions of its velocity and acceleration are

Q3

ball is projected horizontal with a velocity of 5 ms-1 from the top of a building 19.6 m high. How long will the ball take to hit the ground?

Q4

missile is fired for maximum range at your town from a place in the enemy country 100 km away from your town. If the missile is first detected at its half – way point, how much warning time will you have? Take g = 10 ms-2.

Q5

cricketer can throw a ball to a maximum horizontal distance of 100 m. With the same effort, he throws the ball vertically upwards. What is the maximum height attained by the ball?

Q6

From the top of a tower of a height 40 m, a ball is projected upwards with a speed of 20 m/s at an angle of elevation of 30°. The ratio of the total time taken by the ball to hit the ground to its time of flight (time taken to come back to the same elevation) is (Take g = 10 m/s2)

Q7

The maximum height attained by a projectile is increased by 10% by increasing its speed of projection, without changing the angle of projection. The percentage increase in the horizontal range will be