SOLUTION: A car waiting on a signal line starts moving with a uniform acceleration of 4m/s^2 , when traffic lights turn green . at the same time a motor cyclist moving with a constant speed

Question 987987: A car waiting on a signal line starts moving with a uniform acceleration of 4m/s^2 , when traffic lights turn green . at the same time a motor cyclist moving with a constant speed of 36 km/h passes the car.find out
a)the distance from signal line at which the car driver over takes the motorcyclist and,
b) speed of car at that time.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
A car waiting on a signal line starts moving with a uniform acceleration of 4m/s^2 , when traffic lights turn green . at the same time a motor cyclist moving with a constant speed of 36 km/h passes the car.find out
a)the distance from signal line at which the car driver over takes the motorcyclist and,
b) speed of car at that time.
------
36 km/hr = 10 m/sec
-------
find out
a)the distance from signal line at which the car driver over takes the motorcyclist
s(t) for the car = at^2/2 = 2t^2 meters
s(t) for the MC = 10t meters
------
2t^2 = 10t
t = 0 (at the light)
t = 5 seconds.
s = 50 meters
======================================
b) speed of car at that time.
----------
v = at = 4*5
v = 20 m/sec
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