Question

A bullet with muzzle velocity 10m/s is to be shot at a target 30m away in the same horizontal line. How high above the target must the rifle be aimed so that the bullet will hit the target?​

Answer 1

Answer:

Horizontal range of bullet is 30 m.

Using range formula, R=   g  u  2  sin2θ  =30 or sin2θ=  (100)  2   30×10  or sin2θ=0.03

For small θ,sinθ=θ=tanθ,i.e.,2θ=0.03

Therefore, θ=0.015 rad

In ΔOAP,tanθ=  

OP  AP  ⇒AP=OPtanθ

The rifle must be aimed at an angle θ=0.015 above horizontal.

Height to be aimed = 30tanθ=30(θ)=30×0.015=45cm

mark me the brainliest

Answer 2

Horizontal range of bullet is

. <br> Using range formula,

<br> or

<br> For small

<br> Therefore,

<br> In

<br> The rifle must be aimed at an angle

above horizontal. <br> Height to be aimed