Question #48782

Nathaniel is driving his sports car down a four-lane highway at 40m/s. He comes up behind a slow-moving dump truck and decides to pass it in the left-hand lane. If Nathaniel can accelerate at 5m/s/s, how long will it take for him to reach the speed of 60m/s?
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Expert's answer

2014-11-11T00:46:11-0500

Answer on Question #48782 - Physics - Mechanics | Kinematics | Dynamics

1. Nathaniel is driving his sports car down a four-lane highway at 40m/s40\mathrm{m / s} . He comes up behind a slow-moving dump truck and decides to pass it in the left-hand lane. If Nathaniel can accelerate at 5m/s/s5\mathrm{m / s / s} , how long will it take for him to reach the speed of 60m/s60\mathrm{m / s} ?



Let check the dimension: [t]=m/sm/s2=s\left[t\right] = \frac{m / s}{m / s^2} = s

Let evaluate the quantity: t=60405=4(s)t = \frac{60 - 40}{5} = 4\left(s\right) .

Answer: 4 s.

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