Question # 1:
A motorist drives south at 20.0 m/s for 3.00 min, then turns west and travels at 25.0 m/s for 2.00 min, and finally travels
northwest at 30.0 m/s for 1.00 min. For this 6.00-min trip, if the positive x-axis points east, find:
a) the total vector displacement
b) the average speed
c) the average velocity
Question # 2:
A particle initially located at the origin has an acceleration of 3.00j m/s$^2$ and an initial velocity of 5.00i m/s. Find:
a) the vector position of the particle at any time
b) the velocity of the particle at any time
c) the coordinates of the particle at $t$ = 2.00 s
d) the speed of the particle at $t$ = 2.00 s
Question # 3:
Two forces, (-6i-4j) N and (-3i+7j) N, act on a particle of mass 2.00 kg that is initially at rest at coordinates (22.00 m, 14.00 m).
a) What are the components of the particle's velocity at $t$ = 10.0 s?
b) In what direction is the particle moving at $t$ = 10.0 s?
c) What displacement does the particle undergo during the first 10.0 s?
d) What are the coordinates of the particle at $t$ = 10.0 s?