Figure gives the acceleration a versus time t for a particle moving along an x-axis. At t = –2.0s, the particle's velocity is 7.0 m/s. What is its velocity (in m/s) at t = 6.0 s ?

Engineering

Physics

Variable Mass System

Question

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$△ v =$ area under graph
tan θ = $\frac{12}{4} = 3$
$\frac{a}{6}$ = 3 ⇒ a = 18
$\frac{a'}{6}$ = tan θ ⇒ a' = 6
Area= $\frac{1}{2}$ × 18 × 6 – $\frac{1}{2}$ × 6 × 2
V₆ – 7 = 54 – 6 = 48
V₆ = 55 m/s

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