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Question: A projectile is thrown from ground with a velocity of \(6\widehat{i} + 8\widehat{j}\). Where \(\wide...

A projectile is thrown from ground with a velocity of 6i^+8j^6\widehat{i} + 8\widehat{j}. Where i^\widehat{i}and j^\widehat{j}are respectively unit vector along horizontal direction and vertical upward direction. Then the ratio of its horizontal range and maximum height attained by it is –

A

1

B

2

C

3

D

4

Answer

3

Explanation

Solution

HR\frac{H}{R}= tanθ4\frac{\tan\theta}{4} and tan q = uyux\frac{u_{y}}{u_{x}}= 86\frac{8}{6}

\ HR\frac{H}{R}= 14×86\frac{1}{4} \times \frac{8}{6}= 13\frac{1}{3}