a) Calculate the x- and y-components of the following two forcevectors:

F1 = 200 Newtons @ 30°, F2 = 100 Newtons @ 135°

b) What is the magnitude & direction of the resultantvector:

R = F1 + F2

3. A football is kicked on a horizontal field at an angle of 40°and a speed of 27 m/sec.

a) What are the horizontal & vertical components of theinitial velocity?

b) Using just your answer for part a, what are the horizontal& vertical components of the final velocity (no calculationnecessary although you can calculate the values if that turns youon)?

c) How long was the football in the air? (Hint: use the twovalues for y-velocities above - don’t forget about minussigns.)

d) How far horizontally did the ball travel?

4. A car has a maximum acceleration of 5.4 m/s2 when it carriesonly the driver and has a total mass of 1100 kg. What is itsmaximum acceleration after picking up four passengers, adding anadditional 300 kg of mass?

(Hint: the maximum acceleration in both cases is when the car’sengine is putting out the most power it can, which is the same inboth cases.)

5. Calculate the average force (just magnitude) a bumper wouldhave to exert to bring a 1200-kg car to rest in 15 cm when the carhad an initial speed of 2.0 m/s (about 4.5 mph).