Kinematics: Projectile Motion - University of British Columbia
FFAAC
C UULLT
U AT
C AI O
TN
ION
T Y OOFF EED D
UC
Department of
Curriculum and Pedagogy
Physics
Kinematics: Projectile Motion
Science and Mathematics
Education Research Group
Supported by UBC Teaching and Learning Enhancement Fund 2012-2013
Question Title
Cannonball
Trajectories
Question Title
Introduction
The following questions can be modelled using the PhET
simulation:
Try to solve these problems first and then test your answers.
Question Title
Cannonball
Trajectories I
The barrel of a cannon is 1.2 m above the ground and can fire
cannonballs at 15 m/s. Three balls are launched at different angles
above the horizontal. The trajectories of the 3 balls are shown.
Which ball was in the air for the longest amount of time?
(Ignore air resistance)
D. All 3 balls are in the air for
the same amount of time
A.
B.
C.
Solution
Comments
Answer: A
Justification: The time of flight of a projectile depends entirely on
the height of the trajectory. WHY? The time of flight is the time it
takes to reach its maximum height plus the time it takes to fall from
there to the ground.
Since ball A has the highest trajectory, it will have the longest flight
time.
Simulation Note: Ball A was launched at 50¡ã, Ball B at 40¡ã and Ball C
at 30¡ã.
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