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GIZMOS STUDENT EXPLORATION :GOLF RANGE UPDATED ANSWER KEY

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  • January 28, 2022
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GIZMOS STUDENT EXPLORATION: GOLF RANGE – UPDATED
ANSWER KEY

Student Exploration: Golf Range

Vocabulary: acceleration, air resistance, gravity, hang time, launch angle, projectile
motion, trajectory, vector, velocity


Prior Knowledge Questions (Do these BEFORE using the Gizmo.)

1. You are in a contest with your friends to see who can drive a golf ball the
farthest. Should you hit a “line drive” (low to the ground) or a shot with a
very high angle? Explain.

You should hit a line drive to get the highest horizontal velocity, which will cause the
ball to go farther before the force of gravity brings it back to the ground.


2. Golf drives travel much farther than Major League home runs. Why might this be?

Major League home runs require the baseball to have more vertical velocity than the
golf drives require on the golf balls.


Gizmo Warm-up
Have you ever hit a hole-in-one? You will have a chance
to do that in the Golf Range Gizmo™, where you will see
how a variety of factors affect the path of a golf ball. The
movement of objects such as a ball through space is
called projectile motion.

1. Press Play ( ). Did the ball go too far, the right

distance, or not far enough? Not far enough


2. Click Reset ( ). Move the vinitial and θ sliders to adjust the velocity and launch
angle until you get a hole-in-one. (With the Gizmo sound on ( ) you will hear
“Hole in one!”)

What were the velocity and launch angle values?
Velocity = 65m/s and the Launch Angle = 65 degrees.


3. Can you get holes-in-one using other combinations of vinitial and θ? If so, give an
example.

Vinitial = 68m/s and θ = 30 vinitial = 82m/s and θ = 18 vinitial = 100m/s and θ = 11.5

, Activity A: Get the Gizmo ready:
Maximum distance Click Reset and check that Atmosphere: Air is selected.
Set vinitial to 75 m/s and θ to 45.0 degrees.


Question: What launch angle will produce the longest drive?

1. Form hypothesis: What launch angle do you think will yield the longest drive? 40.0
degrees


2. Experiment: Turn on the Show grid checkbox. With the velocity set to 75 m/s,
experiment with a variety of launch angles until you find the one that yields the
longest driving distance.

A. What launch angle produced the longest drive? 43.0 degrees

B. How far did the ball travel? 375 meters


3. Observe: Click Reset and turn on Show paths. Click Clear paths. Take a swing
with the optimum launch angle. The curved path the ball takes through the
air is its trajectory.

Look closely at the trajectory. Does it appear symmetrical? No, not entirely
symmetrical, but close.

The curve is slightly steeper on the right than on the left as a result of air
resistance.


4. Experiment: Click Reset, then select Atmosphere: None. As before, use trial and
error until you find the launch angle that produces the longest drive.

A. What launch angle produced the longest drive? 45 degrees

B. How far did the ball travel? 575 meters

C. Why do you think the ball traveled farther in this situation? Without
the air resistance pushing back on the golf ball, the ball was able to travel
further.


5. Extend your thinking: The Moon has much less gravity than Earth and has an
extremely thin atmosphere. How would these factors affect the trajectory of a
golf ball on the Moon?

With the lower gravity and thin atmosphere on the moon, a golf ball would travel
farther because the gravity would be pulling the golf ball to the surface as strongly
as it would on Earth and the velocity of the ball wouldn’t be slowed down as much
due to it not moving through as much air particles.

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