Projectile Motion: Firing range

[Scorry]

1. Homework Statement

The problem and all known information is attached.

Homework Equations

The kinematic equations are attached.

The Attempt at a Solution

My attempt is attached. I did part (a), (b), and (c), right.

How do I do part (d)? I tried distance/ time .

 

[tommyxu3]

Maybe you can find its vertical and horizontal velocity at that time, then you can reach the goal. Since you have done the first three problems, this couldn't be complicated for you. Give it a try!

 

[Scorry]

Thanks for reply. Its the easiest question but I don't see it. I tried a few a things before you commented.

Can you explain why is it 28.9 m/s?

 

[CentrifugalKing]

I will help. Just give me a sec to read the question.

 

[tommyxu3]

You are given the initial vertical and horizontal velocity $v_v=v_0\sin\theta$ and $v_h=v_0\cos\theta$ and the vertical acceleration $a=-g.$ Because $v_h$ remains constant, so when $t=1.5,$ $v_h=v_0\cos\theta$ and $v_v=v_0\sin\theta+at=v_0\sin\theta-1.5s\cdot g.$ This can give you any idea?