In a time or t seconds, a partide maves a distance of meters from its starting p

Question

In a time or t seconds, a partide maves a distance of meters from its starting point, where St +3 Chapters 2 and 3 (a) Find the average velocity between 1 and1+h tion 24 ter 3.4 on 11 (I) h=0.1 (n h 0.01 (ii) h = 0.001 ter 33 Enter the exact answers (1) when h:0. 1, the average velocity between t=1 and t=1+his (i)When h=0 01, the average velocity between t=1 and t=1+h is (W) Whenhe 0.001, the average velocity between t=1 and t=1+h is Score m/sec. m/sec. m/sec t = 1 (b) Use your answers to part (a) to estimate the instantaneous velocity of the particle at time Round your estimate to the nearest integer. The instantaneous velocity appears to be m/sec.

Explanation / Answer

a)

s(t) =5t²+3

i)

Average velocity =( s(1.1) -s(1))/0.1 = (9.05 - 8)/0.1 = 10.5

ii)

Average velocity =( s(1.01) -s(1))/0.1 = (8.1005 - 8)/0.01 = 10.05

iii)

Average velocity =( s(1.001) -s(1))/0.01 = (8.01 - 8)/0.001 = 10

b)

The instantaneous velocity appears to be 10.

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