The vehicle accelerates at 2.648 m/s².
We have:
Initial velocity, u = 50 miles per hour = 22.352 m/s
final velocity, v = 80 miles per hour = 35.762 m/s
Time, t = 5 seconds
The time in hours is:
t = 5 seconds
Now, the acceleration of the car can be calculated using the formula:
v = u + at
35.762 = 22.352 + a(5)
a(5) = 30
a = 2.682 m/s²
From the calculations above, the acceleration of the car is 2.682 m/s².
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Sometimes in the same direction but most of them go in the opposite direction
The cyclist is moving by uniformly accelerated motion, with an initial velocity of

and an acceleration of

.
The acceleration is given by

where

is the final velocity and

is the time between the end and the beginning of the motion, and in our case it is 1.75 s. Therefore, from this relationship we can find the final velocity: