find the velocity of the object.

Question

If a rock is thrown upward on the planet Mars with a velocity of 9 m/s, its height in meters t seconds later is given by y = 9t − 1.86t2. (Round your answers to two decimal places.)

(a) Find the average velocity over the given time intervals.

(i) [1, 2] m/s

(ii) [1, 1.5] m/s

(iii) [1, 1.1] m/s

(iv) [1, 1.01] m/s

(v) [1, 1.001] m/s (b) Estimate the instantaneous velocity when t = 1. m/s

Answer 1

y(t)=9t-1.86t²

y^’(t)=9-2*1.86t

y’(t)=9-3.72t

[y’(2) + y’(1)]/2= [9-3.72(2)+9-3.72(1)]/2 = 6.21m/s your answer for (i) Casey. Can finish the rest?