What would the equation be for this problem: A bicyclist accelerates at 0.89 m/s/s during a 5 s interval. What is the change in the speed of the bicycle and bicyclist?

vf=vi+at

vf-Vi=at
changespeed= at

To find the change in speed of the bicycle and bicyclist, we can use the equation of motion, which relates acceleration (a), time (t), initial velocity (u), and final velocity (v).

The equation we can use here is:

v = u + at

Where:
v is the final velocity or speed
u is the initial velocity or speed
a is the acceleration
t is the time interval

In this case, the acceleration (a) is given as 0.89 m/s^2 and the time interval (t) is given as 5 s.

Now, since we are looking for the change in speed, the initial velocity (u) can be assumed to be 0 as we are considering the starting point of the cyclist.

Therefore, substituting the given values into the equation, we have:

v = 0 + (0.89 m/s^2)(5 s)

Simplifying further, we get:

v = 0 + 4.45 m/s

So, the change in speed of the bicycle and bicyclist is 4.45 m/s.