Abicyclist starts from rest and accelerates at a rate of 2.3 m/s^2 until it reaches a speed of 23 m/s. it then slows down at a constant rate of 1.0 m/s^2 until it stops. how much time elapses from start to stop? we assume an answer in seconds

33 seconds.

Explanation:

The equation for speed with constant acceleration at time t its:

where is the initial speed, and  a its the acceleration.

Starting at rest, the initial speed will be zero, so

the final speed is

and the acceleration is

.

Taking all this together, we got

So, for the first half of the problem we got a time of 10 seconds.

Now, the initial speed will be

,

the acceleration

,

with a minus sign cause its slowing down, the final speed will be

Taking all together:

So, for the first half of the problem we got a time of 23 seconds.

explanation:

wheres the pic