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xxMikexx [17]
3 years ago
5

You buy a plastic dart gun, and being a clever physics student you decide to do a quick calculation to find its maximum horizont

al range. You shoot the gun straight up, and it takes 4.4 ss for the dart to land back at the barrel.What is the maximum horizontal range of your gun (in meters)?
Physics
1 answer:
Rashid [163]3 years ago
6 0

Answer:

47.48 m

Explanation:

The horizontal range of an object can be estimated using the equation below:

S_{x} =\frac{v^{2}*sin (2\alpha)}{g}

For the maximum horizontal range to occur, the angle \alpha is 45°. Then, the horizontal range will be:

S_{x} = \frac{v^{2}*sin 90}{g} = \frac{v^{2}}{g}

In addition, the velocity (v) can be estimated using the equation below:

v = gt/2

Therefore, the maximum horizontal range is:

S_{x} =  \frac{(gt/2)^{2}}{g} = (9.81*4.4/2)^2 / 9.81 = 47.48 m

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