a Determine the average speed for the time period from t 1

a. Determine the average speed for the time period from t = 1 to t = 9.6. b. Determine the average speed for the time period from t = 1 to t = 9.7. c. Determine the average speed for the time period from t = 1 to t = 4.4.

Solution

Solution:

SInce distance travelled by car is given = 3t²+3t + 2

(a) DIstance travelled between t = 1 sec and t =9.6 sec

S(t) = S(9) -S(1) = 3*9.6² + 3.6*9+2 - (3+3+2) = 299.28

total time taken = 9.6-1 = 8.6

Average speed = total distance travelled in the span of time / total time in that span

= 299.28 / 8.6 = 34.8

similerly

(b)

average speed between t = 1 and t = 9.7

= (313.37-8)/8.7 = 36.02

(c)

average speed between t = 1 and t = 4.4

= (65.28-8)/3.4 = 19.2