A car accelerates uniformly from 18 kilometre per hour to 36 kilometre per hour in 5 seconds calculate the acceleration of the car
Answers
u=18*5/18=5m/s
v=36*5/18=10m/s
t=5
v=u+at
10=5+5a
a=1m/s^-2
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Answer:
Given parameters
Time taken (t) = 5 sec
Initial velocity (u) =18 km/hour
\(u = \frac{18\times 1000}{60\times 60s}\)
u = 5 m/s
Final velocity (v) =36km/hour
\(v = \frac{36\times 1000}{60\times 60s}\)
v =10 m/s
We need to calculate acceleration and distance traveled
We know that
acceleration a = (v – u)/t
Substituting the given values in the above equation we get,
a = (10 – 5)/5
a =5/5
a = 1 m/s2
We know that distance travelled is calculated by the formula
Distance travelled S = u t + (1/2) a × t2
Substituting the given values in the above equation we get,
S = 5 × 5 + (1/2) × 1 × 52
S = 25 + (1/2) × 25
S = 25 + 12.5
S = 37.5 m
Hence
acceleration a =1 m/s2
Distance travelled S =37.5 m