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If t1 and t2 designate the start and end of the deceleration phase, the duration of the deceleration is ∆t21 = t2 − t1. We know that during this phase the speed of the van is given by (see lesson: uniformly decelerated rectilinear movement): v = a(t − t1) + v1. We then have: v2 = a(t2 − t1) + v1 = a∆t21 + v1 =⇒ ∆t21 = (v2 − v1)/a i.e., ∆t21 = (15 − 25)/(−2.5) = (− 10)/(−2.5) = 4 s
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