15 For the position function s(t) = complete the following table with the appropriate average t+1 velocities. Then make a conjecture about the value of the instantaneous velocity at t = 0. Time Interval Average Velocity [0, 1] 3 [0, 0.5] [0, 0.1] [0, 0.01] [0, 0.001]

Q: If a baseball is thrown upward with a velocity of 45 m/s, its height in meters t seconds later is…

A: We know that, Average velocity          = change in position/time elapsed.

Q: The displacement s (in metres) of a particle as a function of time t (in seconds) is given by s(t) =…

A:

Q: The acceleration (in ft/s2) of an object moving along a straight line is given by a(t) = 3t Find the…

A:

Q: Find the average rate of change of the function over the given interval. f(t) = 6t? - 3, [1, 1.1] |x…

A: Given: f(t)=6t2-3,  [1,1.1] Formula used:

Q: For the position function s(t)= - 16t² + 113t, complete the table shown below with the appropriate…

A: The given data is: st=-16t2+113t Complete the given table with the appropriate average velocity.

Q: Use a local linear approximation to estimate the following y-values 1. f(3.1) 2. f(-0.1) 3. f(1.2)

A: The linear approximation formula is: L(x)=f(a)+f'(a)(x-a)   For f(3.1), x=3.1 and a=3 So the linear…