Consider the vector B, drawn below on two different sets of coordinates. Find the x and
y components of B in terms of theta. Find the s and t components of B in terms of phi. Try
to think of at least three ways to express B in terms of unit vectors (what is a unit
vector??).
Suppose you are a frog … I know, I know. If you were, you'd be out looking for
princes instead of playing with physics … anyway, suppose you are a frog. You can
jump with the same initial velocity in any direction. What direction would you jump in
order to have the maximum horizontal range for your jump? What direction would you jump to
have the maximum vertical height for your jump?
Why do raindrops hitting a side window on a moving car move in diagonal lines?
A player kicks a football at an angle of 40 degrees above the horizontal with an initial
speed of 14 m/s. Air resistance may be ignored. A second player standing at a distance of
26 m from the first (in the direction of the kick) starts running to meet the ball at the
instant it is kicked. How fast must the second player run in order to catch the ball just
before it hits the ground?
A moving sidewalk in an airport terminal building moves at 1.0 m/s and is 40.0 m long.
If a woman steps on at one end and walks at 2.0 m/s relative to the moving sidewalk, how
much time does she require to reach the opposite end if she walks a) in the same direction
the sidewalk is moving? B) in the opposite direction?
A crazed physics 113 student does daredevil stunts in her spare time. Her last stunt was
jumping across the Genessee river on a moped. The takeoff ramp was inclined at 53 degrees,
the river was 40 meters wide, and the far bank was 15 meters lower than the top of the
ramp. The river itself was 100 meters below the ramp. Air resistance may be ignored. What
should her speed have been at the top of the ramp to have just made it to the edge of the
far bank?
