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 36.761s for the dart to land back at the barrel. What is the maximum horizontal range of your gun?

Question

Bosco

Physics

31 October, 15:52

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 36.761s for the dart to land back at the barrel. What is the maximum horizontal range of your gun?

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Giuliana Salazar · Answer 1

The time of flight of the dart is 36.761 s, it can be used to solve the initial velocity of the dart bt the formula t = 2v/g, which v is equal to 180.31 m/s which is actually very fast. We can now solve the maximum distanc H = v^2/2g which is equal to 1657.11 m.