Q2 of 43 Page 85

Two objects are thrown up at angles of 45 and 60 respectively with the horizontal. If both objects attain the same vertical height, then the ratio of the magnitude of velocities with which these are projected is?

Maximum height attained in a projectile motion:


Where Ɵ is the angle of projection


Here, there are two objects A and B


Let velocity of A be and that of B be.


Now it is given that


Since both attain same height, so:





More from this chapter

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1

A motor car is going due north at a speed of 50 kmh–1. It makes a 90° left turn without changing the speed. The change in the velocity of the car is about:

 3

A body is projected with a velocity of 40 ms–1. After 2s it crosses a vertical pole of height 20.4m. Calculate the angle of projection and horizontal range.

 4

The position coordinates of a projectile projected from the ground on a certain planet (with no atmosphere) are given by y = (4t – 2t2) m and x = 3t m where t is in seconds and point of projection is taken as origin the. The angle of projection of projectile with vertical is:-

a) 30° b) 37° c) 45° d) 60°

 5

An aeroplane is flying horizontally with a velocity of 600 kmhr–1 and at the height of 1960 m. When it is vertically at a point A on the ground, a bomb is released from it. The bomb strikes the ground at point B. The distance AB is