Acar starts from rest at a stop sign. it accelerates at 3.8 m/s 2 m/s2 for 6.0 s, coasts for 1.6 ss , and then slows down at a rate of 3.3 m/s 2 m/s2 for the next stop sign.
how far apart are the stop signs?

To solve this problem we will start by calculating the distance traveled while relating the first acceleration in the given time. From that acceleration we will calculate its final speed with which we will calculate the distance traveled in the second segment. With this speed and the acceleration given, we will proceed to calculate the last leg of its route.

Expression for the first distance is

The expression for the final speed is

Then the distance becomes as follows

The expression for the distance at last sop is

Therefore the required distance between the signs is,

Therefore the total distance between signs is 183.54m

the part of the wave he is travelling on is the crest

see earlier answer