A motor cycle moving with a speed of 5 ms-1 is subjected to an acceleration of 0.2ms -1 for 10second.Calculate the speed
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SOLUTION
1) Given that
The initial speed of car=u= 5 m/s
Acceleration =a=0.2m/s2
Time=t=10s
We need to calculate the distance
h
We know that
v = u + at
= 5 + 0.2×10
= 5+2
= 7 m/s
s = ut + 1/2at²
= (5×10) + (1/2)×(2/10)×(10×10)
= 50 + 10
= 60 m
Final speed = 7 m/s
Distance traveled in 10 seconds = 60 m
2) Given that
Initial velocity = 18 km/h
We will express it in m/s
So Initial velocity = 18 km/h= 18×5/18 m/sec= 5 m/sec
The final velocity = zero
Acceleration = change in velocity/time
= ( final velocity – intial velocity)/time
= ( 0 – 5)/2.5 = -2 m/s²
so, retardation = 2m/s²
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