A car can accelerate from a standstill to 100 km/h [E] in 9.60s. calculate the average acceleration
1 answer:
Answer:
Acceleration is :
a = 2.89 m/s2
Explanation:
Acceleration : It is the change in the velocity of the object per unit time.
The object starts from the rest , so the initial velocity of the object is zero.
Initial velocity , u = 0
Final velocity = 100 km/h
Change the velocity to m/s because[ time unit is in second(9.60 s)]
1 km = 1000 m
1 hour = 60 x 60 sec = 3600 sec
![1km/h=\frac{1000}{3600}m/s](https://tex.z-dn.net/?f=1km%2Fh%3D%5Cfrac%7B1000%7D%7B3600%7Dm%2Fs)
![1km/hr=\frac{5}{18}](https://tex.z-dn.net/?f=1km%2Fhr%3D%5Cfrac%7B5%7D%7B18%7D)
![100km/hr=\frac{5}{18}\times 100](https://tex.z-dn.net/?f=100km%2Fhr%3D%5Cfrac%7B5%7D%7B18%7D%5Ctimes%20100)
![v=\frac{5}{18}\times 100](https://tex.z-dn.net/?f=v%3D%5Cfrac%7B5%7D%7B18%7D%5Ctimes%20100)
v = 27.78 m/s
u = 0 m/s
time = 9.60 s
The acceleration"a" is calculated using :
![a=\frac{v-u}{t}](https://tex.z-dn.net/?f=a%3D%5Cfrac%7Bv-u%7D%7Bt%7D)
![a=\frac{27.78-0}{9.6}](https://tex.z-dn.net/?f=a%3D%5Cfrac%7B27.78-0%7D%7B9.6%7D)
![a=\frac{27.78}{9.6}](https://tex.z-dn.net/?f=a%3D%5Cfrac%7B27.78%7D%7B9.6%7D)
![a=2.89m/s^{2}](https://tex.z-dn.net/?f=a%3D2.89m%2Fs%5E%7B2%7D)
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I hope this helps. Let me know if anything is unclear.