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4. A marble is rolled off a table that is 2 m high with an initial velocity of 3 m/s. If an identical marble is rolled horizontally off the same table at a velocity of 6 m/s, what happens to the falling time? (Hint: Use your other analysis questions to help you answer) (1 point)

Answer ___________________
Choices:
A. Flight time is doubled. C. Flight time is cut in half.
B. Flight time is the same. D. Flight time is exponentially increased.

Respuesta :

Answer:

the correct statement is B Flight time is the same.

Explanation:

This is a projectile launch problem, in this case as it is rolling on a horizontal table all the initial horizontal velocity, for the time it takes to reach the floor we use

         y =[tex]y_{o}[/tex] I + [tex]v_{oy}[/tex] t - ½ g (t-t₀)

get to the floor y = 0

      0 =y_{o} - ½ g (t-t₀)²

       t = t₀ + √ (2  y_{o}/ g)

we see that the time to delegate to the floor does not depend on the initial velocity m for which the time to reach the floor is the same, regardless of the velocity of the body

the correct statement is B Flight time is the same.

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