Question

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?

Solution

Correct option is

50 m

 

We know that the maximum range Rmax and maximum height hmax are given by

                              

If the ball is thrown vertically upwards,  and Eq. (ii) reduces to

                             

Comparing (i) and (ii) we get

                             

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

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

Q5

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.

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

Q8

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

Q9

The speed of projection of projectile is increased by 5%, without changing the angle of projection. The percentage increase in the range will be

Q10

A projectile has the same range R when the maximum height attained by it is either h1 or h2. Then Rh1 and h2 will be related as