Answered

Join the growing community of curious minds on IDNLearn.com and get the answers you need. Get the information you need from our community of experts who provide accurate and thorough answers to all your questions.

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?

Sagot :

Whitneytr12idn

Answer:

It takes 6.52 s to complete the 150 m track.

Explanation:

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

[tex]x_{1}=v_{0}t+0.5at^{2}[/tex]

[tex]x_{1}=0.5(3.8)(4.5)^{2}[/tex]

[tex]x_{1}=38.48\: m[/tex]

Now, the final speed at this distance will be:

[tex]v_{f}=v_{0}+at[/tex]

[tex]v_{f}=3.8*4.5[/tex]

[tex]v_{f}=17.1\: m/s[/tex]

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

[tex]x_{2}=150-38.48=111.5\: m[/tex]

Therefore, the time is:

[tex]t=\frac{x_{2}}{V_{f}}[/tex]

[tex]t=\frac{111.5}{17.1}[/tex]

[tex]t=6.52\: s[/tex]

I hope it helps you!

Thank you for using this platform to share and learn. Don't hesitate to keep asking and answering. We value every contribution you make. Thanks for visiting IDNLearn.com. We’re dedicated to providing clear answers, so visit us again for more helpful information.