The position of an object is given by s(t)=2cos(4t−8)−7sin(t−2)s(t)=2cos⁡(4t−8)−7sin⁡(t−2) . Note that a negative position here...

The position of an object is given by s(t)=2cos(4t−8)−7sin(t−2)s(t)=2cos⁡(4t−8)−7sin⁡(t−2) . Note that a negative position here simply means that the position is to the left of the “zero position” and is perfectly acceptable. Answer each of the following questions.

Compute (accurate to at least 8 decimal places) the average velocity of the object between t=2t=2 and the following values of tt. Make sure your calculator is set to radians for the computations (i) 2.5 (ii) 2.1 (iii)2.01 (iv)2.001 (v) 2.0001 (vi) 1.5 (vii) 1.9 (viii) 1.99 (ix) 1.999 (x) 1.9999
Use the information from (a) to estimate the instantaneous velocity of the object at t=2t=2 and determine if the object is moving to the right (i.e. the instantaneous velocity is positive), moving to the left (i.e. the instantaneous velocity is negative), or not moving (i.e. the instantaneous velocity is zero).

Expert Solution

genius_generous answered 2 years ago

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