3. A particle is moving in a straight line according to the position function s(t) = t- 6t +9t + 5, t2 0, where s is measured in metres and t in seconds. a) Find the average acceleration in the first 3 seconds. b) The particle changes direction twice. When does that happen? c) How far away, from the starting point, is the particle at t= 3? d) The particle brakes once. When does that happen? e) Find the total distance travelled before braking occurs.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
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3. A particle is moving in a straight line according to the position function
s(t) =t- 6t+9t + 5, t2 0, where s is measured in metres and t in seconds.
a) Find the average acceleration in the first 3 seconds.
b) The particle changes direction twice. When does that happen?
c) How far away, from the starting point, is the particle at t=3?
d) The particle brakes once. When does that happen?
e) Find the total distance travelled before braking occurs.
Transcribed Image Text:3. A particle is moving in a straight line according to the position function s(t) =t- 6t+9t + 5, t2 0, where s is measured in metres and t in seconds. a) Find the average acceleration in the first 3 seconds. b) The particle changes direction twice. When does that happen? c) How far away, from the starting point, is the particle at t=3? d) The particle brakes once. When does that happen? e) Find the total distance travelled before braking occurs.
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