Answer :
At highway speeds, an automobile is capable of an acceleration of about 1.6m/s2. at this rate, it take to accelerate from 80km/h to 110km/h is 5.2084s.
What is velocity?
Velocity is the directional speed of a object in motion as an indication of its rate of change in the position as observed from a particular frame of reference and as measured by a particular standard of the time (e.g. 60 km/h northbound). Velocity is a fundamental concept in kinematics, the branch of classical mechanics that describes the motion of the bodies.
Velocity is a physical vector quantity; both the magnitude and direction are needed to define it. The scalar absolute value (magnitude) of velocity is called the speed, being a coherent derived unit whose quantity is measured in the SI (metric system) as meters per second (m/s or m⋅s−1). If there is a change in the speed, direction or both, then the object is said to be undergoing an acceleration
Therefore,
v = v0 + at, where v is the final velocity, v0 is initial velocity, a is acceleration and t is time, solve for t:
t = (v - v0) / a,
note that all the variables must be in the same units, we want m/s which is a:
110 km / hour = (110 * 1000) / (60 * 60) = 30.5556 m/s:
80 km / hour = (80 * 1000) / (60 * 60) = 22.2222 m/s:
t = (30.5556 - 22.2222) / 1.6 = 5.2084 s
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