Question

A velocity of 10 ms has its Y-component 5/2 Calculate its X-component. ms [Ans. 5/2 ms -1​

Answer 1

Answer:

X component of velocity = ±$\frac{5\sqrt{15} }{2}$ m/s

Explanation:

Velocity v = 10 m/s

Let θ be the angle made by velocity with x axis

Y component $v_{y }$ = 5/2

                   v sinθ = 5/2

                  10 sinθ = 5/2

                       sinθ = 1/4

                    ∴ cosθ = $\sqrt{1 - sin^{2} }$θ = $\sqrt{ 1 - \frac{1}{16} }$  =  ± $\frac{\sqrt{15} }{4}$

X component $v_{x}$ = v cosθ = 10 x $\frac{\sqrt{15} }{4}$ = ±  $\frac{5\sqrt{15} }{2}$ m/s