Answered

Westonci.ca is the premier destination for reliable answers to your questions, provided by a community of experts. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

a)Sketch a velocity-time graph to show this information.b)Use the velocity-time graph to find each of the following.The greatest velocity of the cyclist.C)The total time taken for the journey.d)The acceleration of the cyclist during the final stage.e)Find the average speed of the cyclist during the whole journey.

ASketch A Velocitytime Graph To Show This InformationbUse The Velocitytime Graph To Find Each Of The FollowingThe Greatest Velocity Of The CyclistCThe Total Tim class=

Sagot :

ANSWER:

a)

b) 28 m/s

c) 60 sec

d) -2.8 m/s^2

e) 21 m/s

STEP-BY-STEP EXPLANATION:

For t = 0 s to t = 20 s

a = 1.4 m/s ^2

u = 0 m/s

Therefore:

[tex]\begin{gathered} v=u+at \\ \\ \text{ We replacing} \\ \\ v=0+1.4\cdot20 \\ \\ v=28\text{ m/s} \end{gathered}[/tex]

(a)

Knowing this, we can sketch the velocity-time graph:

(b)

The maximum speed can be determined in the graph and is 28 m/s

(c)

Area under v-t graph gives displacement:

[tex]\begin{gathered} 1260=\frac{1}{2}(t+30)\cdot28 \\ t+30=1260\cdot\frac{2}{28} \\ t=90-30 \\ t=60\text{ s} \end{gathered}[/tex]

So the total time is 60 seconds

(d)

Using between t = 50 and t = 60

t = 60 - 50 = 10 sec

u = 28 m/s

v = 0

We solving for a:

[tex]\begin{gathered} 0=28+a\cdot10 \\ \\ a=\frac{-28}{10} \\ \\ a=-2.8\text{ m/s}^2 \end{gathered}[/tex]

(e)

The average speed is the distance traveled in the total time, therefore:

[tex]\begin{gathered} V=\frac{d}{t} \\ \\ \text{ We replacing} \\ \\ V=\frac{1260}{60} \\ \\ V=21\text{ m/s} \end{gathered}[/tex]

View image CarminN592115
View image CarminN592115
Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.