A car acceleration uniformly from 18 kilometres per hour- 1 to 36 km per hour -1 in five seconds calculate the acceleration and distance covered by the car in the time
Answers
U=18km/h=18/60×1000/60=5m/s
V=36km/h=36/60×1000/60=10m/s
T=5s
Since,
V=u+at
:.10=5+5a
10-5=5a
5=5a
5/5=a
1m/s²=a
Now,
S=UT+1/2at²
S=5×5+1/2(25)
S=25+25/2
S=25+12.5
S=37.5m
(ÆÑẞWĒR)
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