Kinematics in Two Dimensions

1) A person moves a cart 40.0m south down one aisle and then turns 90 right and moves 15.0m. He then makes another 90 turn right and moves 20.0m. Find the person's total displacement.

2) What is the resultant velocity (magnitude and direction) of an airplane that flies due north with the speed of 200 km/hr.

a) If it encounters a 50 km/hr tailwind?

b) If it encounters a 50 km/hr headwind?

3) If a car is driving 40 km/hr. at 53oN of E, what are the x and y components of the car's velocity?

4) A car initially moving East with 12 m/s accelerates towards North with 2.52for 2 seconds.

a) What is the magnitude of its velocity at 2 seconds?

b) How far will it travel during this 2 second? (Findandfirst)

5) A sailboat initially moving with 20 m/s in Northeast direction, 45 degrees with the positive x- axis accelerates, 60 degrees North of west with an acceleration of 3.02for 2.0 seconds.

a) Findand

b) Findand

c) What isandat the end of 2.0 seconds.

d) What isandat the end of 2.0 seconds.

6) Equation of motion for an object moving in 2 dimensions is given in SI units as= 3 t - 6 t2and= 4 t + 7 t2

a) Find ; ; and

b) What is the equation forand?

c) What is the speed at t =0?

d) What is the magnitude of acceleration?