1. An object is moving along the } x \text {-axis with its velocity given by v(t)= 2 sin (1.2t³) / 1 + t² where is time measured in seconds and 0≤t≤5. The object's initial position is at x=8
(a) Find the acceleration of the object at the time t=4.
(b) Find the position of the object at t=4.
(c) What is the distance that the object travels in the interval 0≤ t≤ 5?
(d) What is the displacement of the object in the interval 0≤ t≤ 5?
(e) If a different object moves along the x-axis with its position given by x₂=t³-t², at what time t are the two objects traveling with the same velocity?

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05-12-2022
Mathematics

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1. An object is moving along the } x \text {-axis with its velocity given by v(t)= 2 sin (1.2t³) / 1 + t² where is time measured in seconds and 0≤t≤5. The object's initial position is at x=8
(a) Find the acceleration of the object at the time t=4.
(b) Find the position of the object at t=4.
(c) What is the distance that the object travels in the interval 0≤ t≤ 5?
(d) What is the displacement of the object in the interval 0≤ t≤ 5?
(e) If a different object moves along the x-axis with its position given by x₂=t³-t², at what time t are the two objects traveling with the same velocity?

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