A) Acceleration in part A: ![6.1 m/s^2](https://tex.z-dn.net/?f=6.1%20m%2Fs%5E2)
B) Acceleration in part B: ![2.7 m/s^2](https://tex.z-dn.net/?f=2.7%20m%2Fs%5E2)
C) Acceleration in part C: ![1.5 m/s^2](https://tex.z-dn.net/?f=1.5%20m%2Fs%5E2)
Explanation:
A)
The picture of the problem is missing: find it in attachment.
The acceleration of a body is equal to the rate of change of its velocity:
![a=\frac{v-u}{\Delta t}](https://tex.z-dn.net/?f=a%3D%5Cfrac%7Bv-u%7D%7B%5CDelta%20t%7D)
where
v is the final velocity
u is the initial velocity
is the time it takes for the velocity to change from u to v
In part A of the race, we have:
u = 0
v = 5.5 m/s (estimate)
![\Delta t = 0.9 - 0 = 0.9 s](https://tex.z-dn.net/?f=%5CDelta%20t%20%3D%200.9%20-%200%20%3D%200.9%20s)
So the acceleration is
![a=\frac{5.5-0}{0.9}=6.1 m/s^2](https://tex.z-dn.net/?f=a%3D%5Cfrac%7B5.5-0%7D%7B0.9%7D%3D6.1%20m%2Fs%5E2)
B)
In part B of the race, we have:
u = 5.5 m/s is the initial velocity (estimate)
v = 9.5 m/s is the final velocity (estimate)
is the time interval between the two points considered
Therefore, using the equation for the acceleration, we can find the acceleration in part B:
![a=\frac{9.5-5.5}{1.5}=2.7 m/s^2](https://tex.z-dn.net/?f=a%3D%5Cfrac%7B9.5-5.5%7D%7B1.5%7D%3D2.7%20m%2Fs%5E2)
C)
In part C of the race, we have:
u = 9.5 m/s is the initial velocity (estimate)
v = 11 m/s is the final velocity (estimate)
is the time interval between the two points considered
And therefore, the acceleration in part C of the race is:
![a=\frac{11-9.5}{1}=1.5 m/s^2](https://tex.z-dn.net/?f=a%3D%5Cfrac%7B11-9.5%7D%7B1%7D%3D1.5%20m%2Fs%5E2)
Learn more about acceleration:
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