## anonymous one year ago What is the maximum distance we can shoot a dart, provided our toy dart gun gives a maximum initial velocity of 5.80 m/s? the answer is 1.16m I just don't know why?!!!? help please!

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1. alekos

The max distance is the v^2/g where v is the initial velocity and g is the acceleration due to gravity. I dont get 1.16 m?

2. anonymous

what do you get?

3. anonymous

I know the answer is 1.16 because I have the answer to exam I just want to know why

4. alekos

I get 3.43m

5. anonymous

It depends on how you're throwing the dart, are you projecting it with an angle made with the horizon or are u projecting it horizontally?or u just shooting it vertically down from a cliff? When projected with an angle $\theta$ with the horizontal, the distance is given by $R=\frac{u^2\sin(2\theta)}{g}$

6. alekos

You're right he doesn't specify so I made a few assumptions. Throwing at 45 deg to the horizontal at the ground gives max range.