a car starting from rest and moving with uniform acceleration attains a speed of 60km/h in 20 minutes. find its acceleration in km/h
Answers
Explanation:
3 km in 1 minutes
it's acceleration in km/ h e3 km in 1 minutes
20÷60=3km
Explanation:
Given
A car starting from rest and moving with uniform acceleration attains a speed of 60 km/h in 20 minutes
To Find
Acceleration (km/h²)
Solution
We know that
Equation of motion
\sf \longrightarrow v=u+at⟶v=u+at
Here
u = Initial velocity
v = Final velocity
a = Acceleration
t = Time
According to the question
We are asked to find acceleration
Hence
We must find "a"
Therefore
\sf \longrightarrow a=\dfrac{v-u}{t}⟶a=
t
v−u
Given that
A car starting from rest and moving with uniform acceleration attains a speed of 60 km/h in 20 minutes
Hence
u = 0 [starts from rest]
v = 60 km/h
t = 20 min = 0.333 hour
Substituting the values
We get
\sf \longrightarrow a=\dfrac{60-0}{0.333} \ km/h^{2}⟶a=
0.333
60−0
km/h
2
\sf \longrightarrow a=\dfrac{60}{0.333} \ km/h^{2}⟶a=
0.333
60
km/h
2
\sf \longrightarrow a=180.18 \ km/h^{2}⟶a=180.18 km/h
2
Therefore
\sf \longrightarrow a \approx 180 \ km/h^{2}⟶a≈180 km/h
2
Hence