The force acting on a particle of mass 9.1 kg varies with time according to the equation F = -10t^2 + 80t - 159.1. If its initial speed at t = 3.7 s is 2.4 m/s, calculate its speed at t = 4.3 s.
Added by Debra A.
Step 1
7 s We know that force = mass x acceleration, so we can rearrange the given equation to find the acceleration at any time t: a = F/m = (-10t^2 + 80t - 159.1)/9.1 At t = 3.7 s, we have: a = (-10(3.7)^2 + 80(3.7) - 159.1)/9.1 a ≈ 10.8 m/s^2 Show more…
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