(II) You buy a plastic dart gun, and being a clever

Chapter 28, Problem 75GP

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QUESTION:

Problem 75GP

Problem

(II) 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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QUESTION:

Problem 75GP

Problem

(II) 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?

ANSWER:

Problem 75 GP

Step-by-step solution

Step 1 of 2

The dart will follow a parabolic path consistent with the projectile motion.

Time taken by dart to go up and down = 4 s.

Therefore, time taken for upward motion is half of the total flight time = 2 s.

Taking upward direction as positive, for the vertical displacement

The dart travels up with a speed of 19.6 m/s.

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