Answer:
8 seconds
Step-by-step explanation:
Using the equation of motion v² = u²+2as to get the acceleration of the body.
v = final velocity (in m/s)
u = initial velocity (in m/s)
a = acceleration (in m/s²)
s = distance covered by the car (in metres)
Given u = 0m/s(the car accelerates from rest)
v = 25m/s
S = 100.0m
on substituting,
25² = 0²+2(100)a
625 = 200a
a = 625/200
a = 3.125 m/s²
Since Acceleration = change in velocity/time
3.125 = 25-0/time
3.125t = 25
t = 25/3.125
t = 8 seconds
It takes 8 seconds to merge into highway traffic.