Problem 11. One-dimensional motion: Suppose a particle is moving along the x-axis to the right. The current position is x = 0 (measured in meters) at t=0 (measured in seconds). Given the position function of the particle s(t) = t² +t, compute the following. Part (a) The average velocity of the particle during 4≤t≤7. The instantaneous velocity of the particle at t = 2. Part (b)

Q: 3. (5 points) An elevator moves up and down a building so that its height above the ground (in…

A: Question is solved.

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A: We have the plot of the current data as:

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A: The differential equation

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Q: (9) Two objects and x₂ on a coordinate line at the end of 5 seconds are 1₁ = 35²³-125² + 185 +5 and…

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Q: 7. Find the instantaneous velocity and acceleration at the given time for the straight-line motion…

A: Given: To Find: To find the instantaneous velocity and acceleration at the given time.

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Q: 2.) Suppose the position of a moving object is given by the values in the table : t (sec.) .5 1 1.5…

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A: Answer

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A: The distance traveled = Area under velocity time graph = Area as per right end point aproximation

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A: The average value of a quantity is the rate of change of that quantity with respect to time. The…