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2. [0/20 Points] DETAILS PREVIOUS ANSWERS SERPSE10 2.5.OP.010. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER An object moves along the x axis according to the equation x= 3.30r2- 2.00t +3.00, where x is in meters and it is in seconds. (a) Determine the average speed between t 2.10 s and t= 3.50 s. 14.8 x The average speed is the distance traveled divided by the time. Is the distance traveled equal to the displacement in this case? m/s (b) Determine the instantaneous speed at t=2.10 s. 10.6 x We are given an explicit expression for x as a function of time. Calculus methods can be used to determine the velocity as a function of time. m/s Determine the instantaneous speed at t 3.50 s. 19 x We are given an explicit expression for x as a function of time. Calculus methods can be used to determine the velocity as a function of time. m/s (c) Determine the average acceleration between t = 2.10 s and t - 3.50 s. 6 You appear to have correctly calculated the acceleration using your incorrect values from part (b). m/s2 (d) Determine the instantaneous acceleration at t - 2.10 s. 6 x The instantaneous acceleration is equal to the average acceleration in this case, but your value for the average acceleration is incorrect. m/s² Determine the instantaneous acceleration at t = 3.50 s. 6 X The instantaneous acceleration is equal to the average acceleration in this case, but your value for the average acceleration is Incorrect. m/s² (e) At what time is the object at rest? 3 X The instantaneous velocity will be zero when the object is at rest. Take the derivative of x(t) to find v(t). s