A shell is fired from a fixed artillery gun with an initial speed u such that it hits the target on the ground at a distance R from it. If t _ 1 and t _ 2 are the values of the time taken by it to hit the target in two

Question

Quantrex Academy · Accepted Answer

Correct answer: C. 2R / g

We know for complementary angle range is same for same projection speed.

{t}_{1} = \dfrac{2usin ( \theta )}{g}

….. (i)

{t}_{2} = \dfrac{2usin ( 90 - \theta )}{g}

….. (ii)

R = \dfrac{2{u}^{2}sin \theta cos\theta}{g}

.… (iii)
From equation (i) and (ii)

{t}_{1}{t}_{2} = \dfrac{4{U}^{2}sin\theta cos\theta}{{g}^{2}}

(Using the value of R from equation iii)

{t}_{1}{t}_{2} = \dfrac{2R}{g}

A shell is fired from a fixed artillery gun with an initial speed u...

Options

Correct answer

Step-by-step solution

More from Motion in Two Dimensions