Question

It is possible to shoot an arrow at a speed as high as 102 m/s. (a) if friction is neglected, how high would an arrow launched at this speed rise if shot straight up?

Answer 1

An arrow at a speed as high as 102 m/s straight up will travel 530.82 m height

Step-by-step explanation:

We know the equation of motion
`v^2=u^2+2as`, where s is the displacement, u is the initial velocity, a is the acceleration and v is the final velocity.

In this case body is projected straight up, so final velocity = 0 m/s, initail velocity = 102 m/s, acceleration = -9.8
`m/s^2` and we need to find displacement, that is the height traveled by arrow.

Substituting

`0 = 102^2-2*9.8*s\\ \\ s = 530.82 m`

So height traveled by arrow = 530.82 m