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vredina [299]
3 years ago
11

On a 150 m straight sprint, a cyclist accelerates from rest for 4.5 s at 3.8 m/s2. How long will it take her to complete the 150

m track, assuming she maintains her speed for the remaining part of the track?
Physics
1 answer:
balu736 [363]3 years ago
5 0

Answer:

It takes 6.52 s to complete the 150 m track.

Explanation:

Let's find the position of the cyclist during the acceleration.

x_{1}=v_{0}t+0.5at^{2}

x_{1}=0.5(3.8)(4.5)^{2}

x_{1}=38.48\: m

Now, the final speed at this distance will be:

v_{f}=v_{0}+at

v_{f}=3.8*4.5

v_{f}=17.1\: m/s

Now, we know that x(tot) = 150 m, the remaining part will be:

x_{2}=150-38.48=111.5\: m

Therefore, the time is:

t=\frac{x_{2}}{V_{f}}

t=\frac{111.5}{17.1}

t=6.52\: s

I hope it helps you!

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