Free-Fall Conceptual
Define g
Acceleration due to gravity
How does the time compare for an object to fall straight down vs an object launched with a horizontal velocity?
Same amount of time
A pool ball leaves a 0.60-meter high table with an initial horizontal velocity of 2.4 m/s. Predict the time required for the pool ball to fall to the ground
0.35 s
Find the maximum height (h) and range for vo = 10 m/s and θ = 30°.
h=1.276 m
negative
What type of trajectory does a projectile follow when it is in the air?
Parabolic/parabola
A soccer ball is kicked horizontally off a 22.0-meter high hill and lands a distance of 35.0 meters from the edge of the hill. Determine the initial horizontal velocity of the soccer ball.
16.5 m/s
A football is kicked with an initial velocity of 25 m/s at an angle of 45-degrees with the horizontal. Determine the time of flight, the horizontal displacement, and the peak height of the football.
t=3.61 s, x=63.8 m, y_max=15.8 m
If an object is thrown straight up, how do we find its max height (assume v_0 is given)? (using words only)
Set final velocity as 0, v_0 is given, use kinematics equation.
How do the x-component and y-component of a projectile's velocity compare?
x-comp is constant, y-comp changes as the projectile is launched
A rock is thrown horizontally with an initial velocity of 10.0 m/s from a sea cliff and it lands 2.5 seconds later. What is its velocity as it lands?
32.22 m/s
How long will it take a shell fired from a cliff with v_0=800 m/s at an angle 30 degrees below the horizontal to reach the ground 150 m below.
t=0.37 s
How might air resistance affect an object's time in the air?
It will add time because of a drag force
x=v_0cos(theta)
y=v_0sin(theta)
A plane is traveling with a horizontal velocity of 230 m/s at a height of 2,000 m before dropping a package. Determine the horizontal distance the package travels. Would this be reasonable if a package were to actually be dropped?
3,289 m. No, approximately 2 miles.
Someone throws a baseball with v_x=25 m/s. It takes 3.00 s for it to come back to its original height. Calculate its horizontal range, v_y, and angle.
x=75 m, v_0y=15 m/s, theta=31 degrees
How might you solve a problem if "g" is not constant?
Is acceleration (in both components) constant or always changing? Explain.
Does a 4,000 foot fall take 90 seconds?
No. about 15.8 seconds.
A golfer can drive a ball with an initial speed of 40.0m/s. If the tee and the green are separated by 100m, but are on the same level, at what angle should the ball be driven? **Hint: you should use 2cos(x)sin(x)=sin(2x) at some point.**