chapter 11 section 2 math skills

A cyclist travels at a constant velocity of 4.5 m/s westward and then speeds up with a steady acceleration of 2.3 m.s^2. Calculate the cyclist's speed after accelerating for 5,0 s.

V1 + at = 45.5 m/s + (2.3 m/s² x 5.0s) = 16m/s

Mai's car accelerates at an average rate of 2.6 m/s. How long will it take her car to speed up from 24.6 m/s to 26.8 m/s?

t=v2-v1/a = (26.8 m/s-24.6 m/s)/(2.6m/s^2 ) = 0.85 s

A turtle swimming in a straight line toward shore has a speed of 0.50 m/s. After 4.0 s, its speed is 0.80 m/s. What is the turtle's average acceleration?

(0.80-0.5 m/s)/(4.0 s) = (0.075 m)/s^2

Natalie accelerates her skateboard along a straight line path from 0 m/s to 4.0 m/s in 2.5 s. Find her average acceleration.

(4 m/s-0 m/s)/(2.5 s) = (1.6 m)/s^2 along her path

Find the average acceleration of a northbound subway train that slows down from 12 m/s to 9.6 m/s in 0.8 s.

(9.6-12 m/s)/(0.8 s) = (-3 m)/s^2 north