Question

While cycling at a speed of 10m/s, a cyclist starts going downhill with an acceleration of magnitude 1.2m/s2. The descent takes 10.0 s.

What can you determine about cyclist’s motion using these data?

A.The distance traveled during this time interval.
B.The height of the descent.
C.The inclination of the descent.
D.The speed of the cyclist at the end of the descent.

Answer 1

D.The speed of the cyclist at the end of the descent.

Answer 2

Given:

• Initial speed of cyclist, u = 10 m/s
• Acceleration of cyclist going downhill, a = 1.2 m/s^2
• Time taken to complete the descent, t = 10 s

To find:

• A. The distance traveled during this time interval.
• B. The height of the descent.
• C. The inclination of the descent.
• D. The speed of the cyclist at the end of the descent.

Solution:

A. The distance traveled during this time interval can be found using the formula:

distance = initial velocity * time + 0.5 * acceleration * time^2

distance = 10 * 10 + 0.5 * 1.2 * 10^2 = 610 meters

B. The height of the descent can be found using the formula:

distance = (1/2) * acceleration * time^2

height = (1/2) * 1.2 * 10^2 = 60 meters

C. The inclination of the descent can be found using the formula:

inclination = arctan(height/distance)

inclination = arctan(60/610) = 5.6 degrees

D. The final speed of the cyclist at the end of the descent can be found using the formula:

final velocity = initial velocity + acceleration * time

final velocity = 10 + 1.2 * 10 = 22 m/s

Therefore, the cyclist traveled a distance of 610 meters, descended a height of 60 meters at an inclination of 5.6 degrees, and reached a final speed of 22 m/s at the end of the descent.

To learn more about Acceleration from the given link.

https://brainly.in/question/789316

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