QCEVault

Modelling motion — Question 280

Original QCE Vault practice · 6 marks

Q280 · Practice questionTechnology-freeSimple familiar6 marks

QUESTION 280 (6 marks)

A trolley has acceleration a(t)=6−2ta(t)=6-2t m s−2^{-2} for 0≤t≤60\le t\le6 s and initial velocity v(0)=−5v(0)=-5 m s−1^{-1}. The acceleration graph is supplied.
Question 133 stimulus; see the question for exact data and required construction.
a)
Determine v(t) and the times at which the trolley reverses direction.
[2 marks]
b)
Sketch the velocity-time graph. Label the roots, endpoint values and maximum.
[2 marks]
c)
Determine the total distance travelled during the six seconds.
[2 marks]
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