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 4.1s for the dart to land back at the barrel. What is the macimum horizontal range of your gun?

Question

Mathematics

Elaina Osborn

11 September, 18:57

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 4.1s for the dart to land back at the barrel. What is the macimum horizontal range of your gun?

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Answers (1)

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Lilian Klein · Answer 1

When a dark gun is shot upwards, the applicable equations are:

y = v0t sin θ - 1/2 gt2

R = ∆x (t = 2v0 sin θ/g) = v^2 sin (2θ) / g

when t is 4.1 seconds and θ = 90 degrees,

we can see in the horizontal range s in (2θ) or sin 180 is equal to zero. Hence the range is equal to zero