If an arrow is shot upward on Mars with a speed of 56 m/s, its height in meters t seconds later is given by y = 56t − 1.86t2. (a) Find the average speed 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 speed when t = 1. m/s.

(a) (i)50.42 m/s (ii) 51.35 m/s (iii) 52.094 m/s (iv) 52.2614 m/s (v) 52.27814 m/s

(b) 54.14 m/s

Step-by-step explanation:

The average speed over the given time interval [a,b]: =

Given: If an arrow is shot upward on Mars with a speed of 56 m/s, its height in meters t seconds later is given by

(a)

(i) average speed =

m/s

(ii) average speed =

m/s

(iii) average speed =

m/s

(iv) average speed =

m/s

(v) average speed =

m/s

(b)

m/s

47

step-by-step explanation: