Work these problems out like you are taking an exam and then check the answers at the bottom of the page.
#1. A motorcyclist moving with an initial velocity of 8.0 m/s undergoes a constant acceleration for 3.0 s, at which time her velocity is 17.0 m/s.
a. Sketch a x vs. t graph.
b. Sketch a v vs. t graph.
c. What is her acceleration?
d.
How far does she travel during that 3.0-s interval?
#2. A rock is thrown vertically upward with a speed of 12.0 m/s from the roof of a building that is 60.0 m above the ground.
a. Sketch a position vs. time graph.
b. Sketch a velocity vs. time graph.
c. In how many seconds after being thrown does the rock strike the ground?
d. What is the velocity of the rock just before it strikes the ground?
#3. A ball is thrown upward from the ground with an initial speed of 25 m/s; at the same instant, another ball is dropped from a building 15 m high.
a. Sketch a y vs. t graph.
b. Sketch a v vs. t graph.
c.
Find the height at which the balls meet.
#4. Vector A has a magnitude of 6.00 m and points 30.0o north of east. Vector B has a magnitude of 4.00 m and points 40.0o south of west. What is the resultant of adding these two vectors together?
#5. Noobus is a death-defying squirrel with miraculous jumping abilities. Running to the edge of a flat rooftop, she leaps horizontally with a speed of 6.00 m/s. If she just clears the 3.00 m gap between the houses and lands on the neighbor's roof, what is her speed upon landing? Sketch a y vs. x graph.
#6. A projectile is shot from the edge of a vertical cliff 60.0 m above the ocean. It has a speed of 101 m/s and is fired at an angle of 35.0o above the horizontal.
a. Sketch a y vs. x graph.
b.
How far from the foot of the vertical cliff does the projectile hit the water?
#7. A passenger walks from one side of a ferry to the other side as it approaches a dock. If the passenger's velocity is 1.50 m/s due north relative to the ferry, and 4.50 m/s west relative to the water, what are the direction and magnitude of the ferry's velocity relative to the water?