Unit 3: Motion in Two-Dimensions
Problem Set D
The following selection of problems are sample problems. Individual student problem sets will vary since numerical information is randomly-generated.
For the following problems:
A projectile is launched from the ground with a velocity of 56.7 m/s, directed at a angle of 47.9 degrees with the horizontal. Resolve this velocity vector into horizontal and vertical components. Then determine the time (in seconds) that the projectile is in the air before landing.
(Referring to the previous problem.) Determine the horizontal displacement (in meters) of the projectile.
(Referring to the previous problem.) Determine the maximum vertical height (in meters) of the projectile - achieved when at the midpoint of its trajectory.
A punter kicks a football at an angle of 33.3 degrees with the horizontal at an initial speed of 24.7 m/s. What distance (in meters) away should a punt returner position himself to catch the ball just before it strikes the ground?
(Referring to the previous problem.) To what vertical height (in meters) does the football rise above the initial location?
A tennis player stretches out to reach a ball that is just barely above the ground and successfully 'lobs' it over her opponent's head. The ball is hit with a speed of 21.9 m/s at an angle of 69.2 degrees. Determine the time (in seconds) that the ball is in the air.
(Referring to the previous problem.) Determine the height (in meters) to which the ball rises above the court.
(Referring to the previous problem.) Determine how far away (in meters) the ball lands relative to its striking location.
In an ideal punt, the football has a 'hangtime' (total time in the air) of 5.0 s. If a punter kicks the ball at an angle of 46.1 degrees with the horizontal, what must be the initial velocity (in m/s) of the ball to achieve this?
(Referring to the previous problem.) To what height (in meters) will such a punt rise above the ground?
A ball is thrown straight upward and returns to the thrower's hand after 3.5 s in the air. A second ball is thrown at an angle of 33.3 degrees with the horizontal. At what speed (in m/s) must the second ball be thrown so that it reaches the same height as the one thrown vertically?
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