The velocity of a particle is given by v = 15t2-94t + 63, where v is in meters per second and tis in seconds. Plot the velocity v and acceleration a versus time for the first 8.2 seconds of motion and evaluate the velocity when a is zero. Make the plots and then answer the questions. Questions: When t = 1.5 s, V = m/s, a = m/s? When t = 4.3 s, V= m/s, a= m/s2 When t = 6.9 s, V = m/s, a = m/s? When a = 0, V = m/s

Q: A particle starts from rest at x = -2.7 m and moves along the x-axis with the velocity history…

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Q: 1. The velocity of a car is given by v(f) = 60(1– (0.7)*), where v is measured in m/s and t is…

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Q: A particle starts from rest at x = -1.5 m and moves along the x-axis with the velocity history…

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Q: A particle moves along a straight line with a velocity in millimeters per second given by v = 465 -…

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Q: If a = (s) m/s?, where s is in meters, determine velocity v in mls when s = 15.5 m. For s = 4.6 m, v…

A: Calculated velocity v in m/s .

Q: An object has a constant acceleration of 3 ft per sec every second for a short time of 5 seconds,…

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Q: The velocity of a car traveling along a straight line is given by v = (4 · ť² − 6 · t) -6-t) ft,…

A: The velocity of the car is At

Q: If a ball is thrown into the air with a velocity of 52 ft/s, its height in feet t seconds later is…

A: Given data: Velocity = 52 ft·s-1 Height in feet t seconds later is given as = yt =52t-16t2

Q: The trajectory of a rocket as a function of time given by: 7(t) (1.3 ² + 0.4 ³ ) i +0.4 j = The…

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Q: During a short interval of time, the speed v (in m/s) of a motorcycle is given by the following…

A: Given speed of the object is expressed as V = at2 + bt3  , in  m/s

Q: A particle starts from rest at x = -2.0 m and moves along the x-axis with the velocity history…

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Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.