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Practice: T-shirt cannon

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Wize University Physics Textbook (Master) > Motion in 1/2/3D: Kinematics

Two- and Three-Dimensional Kinematics (Calculus-Based)

4 Activities

At football games, sometimes, there is a "T-shirt cannon" that is used to fire T-shirts into the audience, to be given to avid fans as souvenirs. In this problem, assume the flying T-shirts encounter no air resistance, and move like normal projectiles.

A T-shirt is launched with an initial velocity of v⃗=2.8msi^+13.3msj^\vec v=2.8 \frac {m}{s}\hat i+13.3\frac {m}{s}\hat j.
(Choose the direction of motion as positive; upward for y-direction, and in the direction of the T-shirt's motion for x-direction.)

a) Write down the acceleration vector for the launched T-shirt in terms of unit vectors.
b) What is the velocity vector after 2.0 seconds? (Assume it does not yet land or hit any obstacles in this time period.)
c) Will a spectator positioned at r⃗=9.0i^+15.0j^\vec r=9.0\hat i+15.0\hat jbe able to catch the t-shirt? (Treat the position of the cannon as the origin, x=0 and y=0). Show your work.
Part (a)
More Two- and Three-Dimensional Kinematics (Calculus-Based) Questions:
Archery
You are hanging out with a friend at an archery range. Your friend is a lot stronger than you are, so her shots always have higher initial speed.
You should include rough sketches in your explanations for each of the following questions. It makes it easier for both you and the marker during a final exam.
a) You both shoot arrows horizontally at the same time from the same height. In what order do the arrows hit the ground?
A bird is swooping down at 23.0o below the horizontal at a speed of 12.3m/s. It spots a man, 25.0m in front, having his lunch below. How high up from the ground should the bird release in order to ruin the man's day? (answer in metres)
2D kinematics - meatball
You sneezed and your meatball rolls of the 0.60m tall table with a horizontal velocity of 2.4m/s.