a car travelling at 50km/h from rest covers a distance of 10km in 40minutes. Calculate the acceleration
1 answer:
Answer:
![9.67\cdot 10^{-3}m/s^2](https://tex.z-dn.net/?f=9.67%5Ccdot%2010%5E%7B-3%7Dm%2Fs%5E2)
Explanation:
We can solve the problem by using the following suvat equation:
![v^2-u^2=2as](https://tex.z-dn.net/?f=v%5E2-u%5E2%3D2as)
where
v is the final velocity
u is the initial velocity
a is the acceleration
s is the displacement
For the car in this problem:
u = 0 (it starts from rest)
is the final velocity
s = 10 km = 10 000 m is the displacement
Solving for a, we find:
![a=\frac{v^2-u^2}{2s}=\frac{13.9^2}{2(10000)}=9.67\cdot 10^{-3}m/s^2](https://tex.z-dn.net/?f=a%3D%5Cfrac%7Bv%5E2-u%5E2%7D%7B2s%7D%3D%5Cfrac%7B13.9%5E2%7D%7B2%2810000%29%7D%3D9.67%5Ccdot%2010%5E%7B-3%7Dm%2Fs%5E2)
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