## Question

A 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

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

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

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

A 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?

A 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}.

A 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?

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/s^{2})

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