Respuesta :
The time it will take to roll from the top of the ramp to the bottom by the ball when acceleration of it a = 2 ft/s2, is 4 seconds.
What is the equation of motion?
The equation of motion is the relation between the distance, velocity, acceleration and time of a moving body.
The equation which gives the distance d of an object starting at rest travels given acceleration a and time t is,
[tex]d = \dfrac{1}{2}at^2[/tex]
Suppose a ball rolls down the ramp shown at the right with acceleration a = 2 ft/s2. The ramp is 12 feet long. Thus, the distance travel by ball to roll from the top of the ramp to the bottom is 12 feet. Thus, we have,
[tex]a=2\rm\; ft/s^2\\d=12\rm\; feet[/tex]
Put the values in the above equation,
[tex]d = \dfrac{1}{2}at^2\\12 = \dfrac{1}{2}(2)t^2\\t^2=12\\t=\sqrt{12}\\t=3.46\\t=\approx 4\rm\; s[/tex]
Thus, the time it will take to roll from the top of the ramp to the bottom by the ball when acceleration of it a = 2 ft/s2, is 4 seconds.
Learn more about the equation of motion here;
https://brainly.com/question/13763238
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