Particle Models in Two Dimensions Worksheet 1:
Free-Fall Kinematics
1. A ball is thrown downward with an initial speed of 20 m/s on Earth.
a. Make a labeled diagram (specify the (+) direction), then make a motion
...
Particle Models in Two Dimensions Worksheet 1:
Free-Fall Kinematics
1. A ball is thrown downward with an initial speed of 20 m/s on Earth.
a. Make a labeled diagram (specify the (+) direction), then make a motion
map of the situation.
b. What is the acceleration of the ball?
c. Calculate the displacement during the first 4.0 s.
d. Calculate the time required to reach a speed of 50 m/s.
e. Calculate the time required to fall 300 m (Hint: factor the quadratic or use the quadratic
f. Calculate the speed after falling 100 m.
2. A rock is thrown upward with an initial speed of 15 m/s on Earth.
a. Make a well-labeled diagram of the
situation.
b. Make a list of given quantities and
quantities to find, labeled with units and
appropriate algebraic signs (+, -).
c. What is the acceleration of the rock?
d. Calculate the rock's height after 1.0 sec.
e. Calculate the time required to reach an upward speed of 3.0 m/s.
f. Calculate the time required to reach a downward speed of 5.0 m/s.
3. A ball punted vertically has a hang time of 3.8 seconds. What was its initial velocity? Make a
well-labeled diagram of the situation. Make a list of given quantities and quantities to find,
labeled with units and appropriate algebraic signs (+, -).
4. A rock is thrown straight up with an initial speed of 22 m/s. How long will it be in the air
before it returns to the thrower? Graph the vertical position, velocity, and acceleration of the
rock on the axes provided. Make a well-labeled diagram of the situation. Make a list of given
quantities and quantities to find, labeled with units and appropriate algebraic signs (+, -).
b. Draw a velocity and an acceleration motion map for the trip.
5. A student throws a baseball off a 120 m high bridge with an initial downward speed of 10 m/s.
a. How long does it take the ball to hit the ground below?
b. How fast is the ball going at the moment of impact?
6. When a kid drops a rock off the edge of a cliff, it takes 4.0 s to reach the ground below. When
she throws the rock down, it strikes the ground in 3.0 s.
What initial speed did she give the rock?
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