Chapter 12.2, Problem 1PP

a. If s = (2t³) m, where t is in seconds, determine v when t = 2 s.

b. If v = (5s) m/s, where s is in meters, determine a at s = 1 m.

c. If v = (4t + 5) m/s, where t is in seconds, determine a when t = 2 s.

d. If a = 2 m/s², determine v when t = 2 s if v = 0 when t = 0.

e. If a = 2 m/s², determine v at s= 4 m if v = 3 m/s at s = 0.

f. If a = (s) m/s², where s is in meters, determine v when s = 5 m if v = 0 at s = 4 m

g. If a = 4 m/s², determine s when t = 3 s if v = 2 m/s and s = 2 m when t = 0.

h. It a = (8t²) m/s², determine v when t = 1 s if v = 0 at t = 0.

i. If s = (3t² + 2) m, determine v when t = 2 s.

j. When t = 0 the particles is at A. In four seconds it travels to B, then in another six seconds it travels to C. Determine the average velocity and the average speed. The origin of the coordinate is at O.