Throwing things diagonally up
Throwing things diagonally down
Throwing things horizontally
Conceptual
Potpourri
100
A microwave oven is thrown off of a 43m tall cliff with a speed of 20m/s diagonally at an angle of 60o. What will be the horizontal component of the velocity when the oven is at maximum height?
10m/s
100
A ice cream truck is thrown off of a 43m tall cliff with a speed of 20m/s diagonally at an angle of 60o below horizontal. How long will it be before the truck strikes the ground?
1.68s
100
A calculator is thrown horizontally with a speed 10m/s from the top of a 20m tall building. How far does the calculator travel horizontally before striking the ground?
20.2m
100
For projectiles, why can we use the kinematic formulas for the vertical direction and d=vt for the horizontal direction?
Since the acceleration is constant in the vertical direction, and the speed is constant in the horizontal direction
100
What happens to the following if you increase the angle of a projectile from 0-45o?
time in air
horizontal distance
maximum height
time in air
horizontal distance
maximum height
increase, increase, increase
200
You throw a tomato diagonally from the ground with a speed V at an angle θ and it travels a horizontal distance D before striking the ground. If you now throw the projectile with twice the speed at the same angle, what is the new distance the tomato travels?
4D
200
You throw a watermelon at an angle below horizontal off of a cliff. Sketch graphs of the horizontal and vertical...position, velocity, and acceleration. That's six graphs but no numbers required.
200
A playstation is thrown horizontally with speed V from a building of height H. How far does the playstation travel before striking the ground (in terms of given variables and fundamental constants)?
V&radic 2H/g;
200
Increasing angle decreases the horizontal component of velocity, but between 0-45o increasing the angle will increase the horizontal distance traveled. How can the horizontal distance traveled increase for increasing angle when this decreases the horizontal component of velocity?
The time in the air increases, and this effect is more important between 0-45o
200
What happens to the following if you increase the angle of a projectile from 60-70o?
time in air
horizontal distance
maximum height
time in air
horizontal distance
maximum height
increase, decrease, increase
300
A waffle iron is thrown from a 25m tall cliff with a speed of 15m/s at an angle of 40o above the horizontal. How far will the projectile travel horizontally before striking the ground?
39.6m
300
A beanbag is thrown from a 33m tall cliff with a speed of 60m/s at an angle of 30o below the horizontal. How far will the beanbag travel horizontally before striking the ground?
49.5m
300
An xbox is thrown horizontally from a cliff of height H with speed 30m/s. If the xbox travels 50m horizontally before striking the ground, what is the height of the cliff?
13.6m
300
A projectile is fired with an initial speed at an angle above horizontal. Sketch a graph of the speed of the projectile as a function of time from right after it was shot until right before it strikes the ground.
Speed never hits zero
300
Why can't we say that vfinal is zero when hitting the ground when solving most projectile motion problems?
Since it will not be freely falling and acceleration will change.
400
You do a lab where you repeatedly fire a brick from the ground at the same speed but varying angles from the horizontal. You measure the angle of the initial velocity and the range R. What could you plot to get a straight line, and what would the slope represent?
One option is R for y, sin(2θ) for x, and the slope would be v2/g
400
A kiwi is thrown from a cliff of height H with a speed of 40m/s at an angle of 50o below the horizontal. If the kiwi makes it 60m horizontally before striking the ground, what was the height H of the cliff?
H=98.2m
400
A Wii is thrown horizontally from the top of a building of height H. If the Wii travels a distance D before striking the ground, what is the initial horizontal velocity of the Wii in terms of given variables and fundamental constants?
D/(&radic 2H/g)
400
Derive the range formula and show your work.
400
A gameboy is thrown from the ground toward a 15m tall cliff with a speed of 50m/s at an angle of 30o above the horizontal. How far will the projectile travel horizontally before striking the cliff?
191m
500
A waffle iron is thrown from a 40m tall cliff with a speed of 50m/s at an angle of 30o above the horizontal. What will be the total speed of the waffle iron right before striking the ground, and what angle will that velocity make with the horizontal?
57.3 m/s at an angle of -40.9o or 319o
500
A Prius is thrown from a 20m tall cliff with a speed of 30m/s at an angle of 40o below the horizontal. What will be the total speed of the Prius right before striking the ground, and what angle will that velocity make with the horizontal?
35.9m/s, -50.26o or 309.7o
500
You repeatedly throw objects horizontally from the roof of your school a distance H above the ground. You measure the initial speed S and the distance traveled before striking the ground. What could you plot to get a straight line and what would the slope represent?
D is y, S is x, and &radic 2H/g; is the slope
500
Which ship gets hit first if the shells are fired at the same time? And why?
500
A chair is thrown from the ground toward a 40m tall cliff at an angle above the horizontal. If the chair spends 12 seconds in the air before striking the cliff, and travels 90m horizontally before striking the cliff, what was the initial speed of the chair? And what angle was the initial velocity from horizontal?
62.6m/s, and 83.1o