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1. Describe a situation in which average velocity is equal to instantaneous velocity?
2. Can an object with constant acceleration reverse its direction of travel? Can it reverse its
direction twice? In both cases, explain your reasoning.
3. A package falls out of an airplane that is flying in a straight line at a constant altitude and
speed. If you ignore air resistance, what would be the shape of the path of the package as
observed by the pilot? As observed by a person on the ground?
4. A baseball player hits a ball that soars high into the air. After the ball
has left the bat, and while it is traveling upward, what is the direction of acceleration? Ignore air resistance.
.
1. Orange Krypton. How many wavelengths of
orange krypton-86 light would fit into the thickness
of a piece of paper?
2. Fastest Man on Earth. A world's land speed
record was set by Colonel John P. Stapp when in
March 1954 he rode a rocket-propelled sled that
moved along a track at 1020 km/h. He and the
sled were brought to a stop in 1.4 s. In terms of g,
what acceleration did he experience while
stopping?
3. Kicking an Extra Point. In football, after a touchdown the team has the opportunity to
earn one more point by kicking the ball over the bar between the goal posts. The bar is
3m above the ground, and the ball is kicked from ground level, 12m horizontally from the
bar. If the ball is kicked at 45.0° above the horizontal, what must its initial speed be if it
is just to clear the bar?
4. If a = (-2,3,1), b = (0,4,0), and c = (-1,3,3), then find (a × b) ⋅ c
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1. Describe a situation in which average velocity is equal to instantaneous velocity?
2. Can an object with constant acceleration reverse its direction of travel? Can it reverse its
direction twice? In both cases, explain your reasoning.
3. A package falls out of an airplane that is flying in a straight line at a constant altitude and
speed. If you ignore air resistance, what would be the shape of the path of the package as
observed by the pilot? As observed by a person on the ground?
4. A baseball player hits a ball that soars high into the air. After the ball
has left the bat, and while it is traveling upward, what is the direction of
acceleration? Ignore air resistance.
.
1. Orange Krypton. How many wavelengths of
orange krypton-86 light would fit into the thickness
of a piece of paper?
2. Fastest Man on Earth. A world's land speed
record was set by Colonel John P. Stapp when in
March 1954 he rode a rocket-propelled sled that
moved along a track at 1020 km/h. He and the
sled were brought to a stop in 1.4 s. In terms of g,
what acceleration did he experience while
stopping?
3. Kicking an Extra Point. In football, after a touchdown the team has the opportunity to
earn one more point by kicking the ball over the bar between the goal posts. The bar is
3m above the ground, and the ball is kicked from ground level, 12m horizontally from the
bar. If the ball is kicked at 45.0° above the horizontal, what must its initial speed be if it
is just to clear the bar?
4. If a = (−2,3,1), b = (0,4,0), and c = (−1,3,3), then find (a × b) ⋅ c
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1. Describe a situation in which average velocity is equal to instantaneous velocity.
An object in motion where the velocity is periodically oscillating around an
average velocity would have its instantaneous velocity equal to its average velocity
in periodic intervals.
2. Can an object with constant acceleration reverse its direction of travel? Can it
reverse its direction twice? In both cases, explain your reasoning.
An object with constant acceleration can reverse its direction once if the
initial velocity vector has an opposite direction than the acceleration, for example,
throwing an object upwards where the acceleration of gravity points downwards.
Because the acceleration is constant, the object can only reverse direction
once.
3. A package falls out of an airplane that is flying in a straight line at a constant
altitude and speed. If you ignore air resistan...
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