Q39 of 43 Page 85

A projectile has the same range R when the maximum height attained by it either H1 or H2. Find relationship between R, H1 and H2.

Let u be the initial speed.

At highest point, the vertical component of velocity is zero.


If θ is the angle with horizontal, then


Now, at max height a = –g


Using the equations of motion:





If θ is the angle between the vertical,


Now, using the equations of motion:





Now,




Now we know that Horizontal range =



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A blind person after walking 10 steps in one direction each of length 80cm turns randomly to the left or to the right by 90°. After walking a total 40 steps the maximum possible displacement of person from his starting position could be

(a) 320 m


(b) 2.32 m


(c)


(d) 16√2 m

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