# You buy a plastic dart gun, and being a clever physics student you decide to do a quick calculation to find its maximum horizontal range. You shoot the gun straight up, and it takes 4.0 s for the dart to land back at the barrel. What is the maximum horizontal range of your gun?

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You buy a plastic dart gun, and being a clever physics student you decide to do a quick calculation to find its maximum horizontal range. You shoot the gun straight up, and it takes 4.0 s for the dart to land back at the barrel. What is the maximum horizontal range of your gun?

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Step 1

Here, the figure shows the motion of the dart shot by a gun at an initial velocity u and vmax is the velocity of y-component at the maximum height and with the angle θ.

Step 2

Given,

Step 3

Now, at the maximum height, there will be no y-component of the velocity so, vmax will be zero and tmax is the time taken by the dart to r...

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