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?
Young and Freedman 3-42:
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?
Young and Freedman 3-29:
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?
If time permits -
Young and Freedman 3-55, slightly modified:
A crazed physics 113 student does
daredevil stunts in her spare time. Her last stunt was to attempt to jump across the
Genessee river on a moped (see figure 3-39 in text). 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?