article Motion in Two Dimensions Model Worksheet 4 focuses on solving projectile motion problems by applying the independence of horizontal and vertical motion, often requiring analysis of objects launched from heights or at angles. Key tasks involve calculating flight time, range, and impact velocity through kinematics, often utilizing the quadratic formula. For a detailed breakdown and sample problems
©Modeling Instruction – AMTA 2013 1 U6 2D Motion - ws 4 v3.1
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Particle Motion in Two Dimensions Model Worksheet 4:
Projectile Motion Problems
1. A metal sphere is launched with an initial velocity of 1.5 m/s as it leaves the ramp. The end
of the ramp is 1.20 m above the floor. Calculate the range of the sphere. (Range is the
horizontal displacement of the projectile.)
2. Now the ramp is tilted downwards and the sphere leaves the ramp at 1.5 m/s as shown below.
The bottom of the ramp is 0.90 m above the floor. Calculate the range of the sphere.
1.2 m
0.90 m
©Modeling Instruction – AMTA 2013 2 U6 2D Motion - ws 4 v3.1
3. A water balloon is launched at a building 24 m away with an initial velocity of 18 m/s at an
angle of 50˚ above the horizontal.
a. At what height will the balloon strike the building?
b. If the balloon misses or shoots over the building, how far will the balloon land from its
launch location?
c. The balloon can be launched from less than 24 m away from the building at the same
speed and angle and still hit exactly the same height you calculated in part a. Determine
this second launch location.
building
