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Definitions
Conceptual
1-D
2-D
Miscellaneous
100
Provide a "mathematic" definition for the following: distance, acceleration, velocity, speed
distance=sum of positions ; acceleration=rate of an object's change in velocity ; velocity=rate of an object's change in position ; speed=rate of an objects distance traveled
100
A cannonball is launched from a horizontal cannon. (a) What will be the acceleration experienced by the cannonball after having left the cannon. (b) What will be the cannonball's initial vertical velocity?
(a) a=9.81m/s/s vertically and 0m/s/s horizontally. ; (b) initially v=0 vertically
100
Two children are playing marbles on the second floor roof of the local school. One of the marbles rolls under the protective fence and begins to fall to the ground 5m below. How fast will the marble be moving in the vertical direction after 0.43 seconds?
v=4.2m/s
100
A velocity vector with a magnitude of 45m/s is directed at 25 degrees North of West. What are the northern and western components of this velocity?
Vnorth=19m/s ; Vwest=41m/s
100
A squirrel is moving toward a tree at 3.0m/s for 0.2s. Suddenly it sports a dog chained to the tree and turns to run away. The squirrel travels directly back the way it came for 0.3s traveling at 4.0m/s. What is the squirrel's displacement?
-6.0m
200
Provide a term describing each of the following: (a) how fast something travels (b) the rate of a velocities change. (c) the rate of a position’s change
a) speed/velocity b) acceleration c) velocity
200
A plane is traveling horizontally with its cargo door open. A crate falls from the back of the plane. Draw the trajectory of this crate as it falls to the earth.
NA
200
Lauren is riding her trusty emu at a steady pace of 2.5 m/s when suddenly Bailey yells scaring Lauren’s emu. For the next 25 meters Lauren’s emu accelerates at a constant rate until traveling at 5m/s. How long did it take Lauren’s emu to reach its new velocity?
6.7s
200
Two children are playing marbles on the second floor roof of the local school. One of the marbles rolls under the protective fence and begins to fall to the ground 5m below. How long will it take the marble to strike the ground?
t=1.s
200
A rifle is capable of projecting its shell a horizontal distance of 520m every second. The rifle is brought to Jupiter where the gravity has a value of 24.79m/s/s., Assuming the rifle is still able to fire what will happen to the horizontal distance traveled per second?
Nothing only the vertical will be altered.
300
A car travels 25 miles at an average speed of 60.mph and then 45miles at an average speed of 45mph. What is the average speed of the car for the overall journey?
v=49mph
300
A circus clown is juggling flaming bowling balls on his unicycle. What is the value of the balls’ acceleration at the peak of its trajectory? Do not forget the direction.
a=g=9.8m/s/s downward.
300
On Io gravity has a value of 1.796m/s/s. If a tennis ball were dropped from a height of 13.00m how long would it take to reach the ground?
t=3.805s
300
A herd of bison are ran off the horizontal edge of a 20.0m tall cliff. If the bison landed 10.0m from the base of the cliff, how fast were they traveling when they began to fall (when they left the cliff)?
v=4.9m/s
300
A water balloon is fired at 5.0m/s 50 degrees below the horizontal. What will be the balloon's vertical velocity 2.3m below just before it hits the ground?
v=7.7m/s
400
An object is released from rest on planet Glom. Glom has no atmosphere. In the first 3 seconds the object is able to accelerate to a downwards velocity of 45m/s. What is the magnitude of gravity on Glom?
a=15m/s/s downward
400
Consider the motion of a cannonball traveling in three dimensions. How do the initial velocities in each direction compare? How does the time in each dimension compare? Provide a reason for BOTH.
Initial velocities will have no comparison. We do not know the angle or strength of the resultant velocity so no judgments can be made as the physical variables do not "cross" dimensions. The time may be equivalent for both so long as equal portions of the trajectory are compared (i.e. the entire vertical and the entire horizontal).
400
The Andromeda accelerates uniformly from rest to light speed (2.99x10^8 m/s) in a distance of 54km. (a) What is the magnitude of the ship’s average acceleration? (b) How long did it take for the ship to travel this distance?
a=8.3x10^11m/s/s ; t=3.6x10^-4s
400
A stone is dropped from a plane flying over level ground at a velocity of 90.5m/s in the horizontal direction. At the instant the stone is released the plane begins to accelerate horizontally at 0.75 m/s/s. If the flare takes 3.75s to reach the ground (a)How high is the plane flying? (b) When it lands what is the horizontal displacement of the stone from its release point? (c) What will be the horizontal distance between the plane and the stones impact point?
a) s=68.9m b) 339m c) 5.27m
400
Two bullets released at the exact same time from equal heights above the ground. One is simply dropped while the other is fired horizontally from a handgun. Which of the bullets strikes the ground first? WHY?
They hit at the same time as their vertical components will be identical, mandating that their fall time be identical.
500
Joe is swimming across a 10.m wide river. It takes him 30.s to make the journey. When he arrives on the other side of the river he finds she the current has moved him 15m downstream of where he began his swim. (a) What is Joe’s displacement? (b) What was Joe’s average speed?
a) s=18m ; b) v=0.60m/s
500
Displacement, velocity and acceleration all have directional components as well as magnitudes. Consider the motion of an apple being tossed into the air. How do the components compare? I.E. describe the direction and magnitudes (amounts) of each as time passes.
Vertical: s will increase until the apex is reached, then it will return to zero. v will decrease until a value of zero is reached at the apex, then it will increase in a negative fashion. a will remain at 9.8m/s/s downward the entire time. Horizontal: s will increase at a constant rate. v will remain constant. a will be zero if friction is negligible.
500
A Russian cosmonaut traveling in a rocket toward a black hole at 350.0m/s releases a rubber ducky just before turning for safety. If ducky experiences an average acceleration of 150.0m/s/s (a) How fast will the duck be traveling after 40.00meters? (b) how long will it take the ducky to reach a velocity of 400m/s?
v=366.7m/s ; t=0.1116s
500
A cannonball is fired at an angle of 15 degrees above the horizontal. If the cannonball travels with an initial speed of 45m/s find the cannonball's range.
s=103m
500
A pumpkin is launched a horizontal distance of 150.0m. If the pumpkin was in the air for 3.5s find the pumpkin's initial velocity. This means magnitude and direction.
v=46 m/s at 22 degrees above the horizontal