Projectiles

Question 10

A particle $P\,$ is projected from a point $O\,$ with velocity $Ums−1U\text{ms}^{-1}$ at an angle of $\theta^\circ\,$ to the horizontal. When $P\,$ has moved a horizontal distance $x$ , its height above $O\,$ is $y$ .

a.

Show that

\tan \theta - \frac{g x^2}{2 u^2 \cos^2 \theta}

[4]

b.

Given that $θ=45∘\theta = 45^\circ$ and that when $x = 6$ , $y = 2$ , find the speed of $P\,$ at the point where $x = 6$ and $y = 2$ .

[6]

Projectiles

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Question 10

A particle $P\,$ is projected from a point $O\,$ with velocity $Ums−1U\text{ms}^{-1}$ at an angle of $\theta^\circ\,$ to the horizontal. When $P\,$ has moved a horizontal distance $x$ , its height above $O\,$ is $y$ .

a.

Show that

\tan \theta - \frac{g x^2}{2 u^2 \cos^2 \theta}

[4]

b.

Given that $θ=45∘\theta = 45^\circ$ and that when $x = 6$ , $y = 2$ , find the speed of $P\,$ at the point where $x = 6$ and $y = 2$ .

[6]

Projectiles

Question 10

Projectiles Questions

Projectiles

Question 10

Projectiles Questions