In: Physics
1) projectile blitz:
a) given an initial velocity (Vx0,Vy0) off a cliff of height H,
what
is the final velocity? What is the horizontal distance
traveled? How much time is the projectile in the air for?
b) given a launch angle theta for the same case of
launching off a
cliff of height H, and given a horizontal distance d to a target
that
the projectile is supposed to hit, what speed should the projectile
be
launched at?
2) Liz May is travelling South with speed Vm.
Jagmeet Singh is travelling
west with speed Vs. At time 0, May is a distance Ym North of
a
political intersection, and Singh is Xs to the east of the
intersection. Find the distance of closest approach.
3) A person of mass m is on a massless weight scale in
an elevator of
mass M being pulled up by a cable with tension T. The tension is
large
enough to cause positive vertical acceleration. What weight does
the
scale read?
4) What banking angle for a circular race track of
radius R would
be optimal for race cars going speed V?