Unit 3: Motion in Two-Dimensions
Problem Set C
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 stone is dropped from rest off the top of a 69.6-m high cliff. How much time (in seconds) does it take the stone to reach the ground below?
A stone is thrown with an initial horizontal velocity of 5.34 m/s off the top of a 69.6 m high cliff. How much time (in seconds) does it take the stone to reach the ground below?
(Referring to the previous problem.) How far (in meters) from the base of the cliff does the stone land?
Tom the cat is chasing Jerry the mouse across a table surface 1.11 m high. Jerry steps out of the way at the last second, and Tom slides off the edge of the table at a speed of 4.23 m/s. How many meters from the bottom edge of the table will Tom strike the floor?
(Referring to the previous problem.) What is the horizontal component of velocity (in m/s) of the cat just prior to hitting the floor?
(Referring to the previous problem.) What is the vertical component of velocity (in m/s) of the cat just prior to hitting the floor?
A watermelon is rolled off a high-diving platform with an initial speed of 2.53 m/s. The melon lands in the water 3.26 s later. Determine the height (in meters) of the diving platform.
(Referring to the previous problem.) How far (in meters) from the base of the platform does the watermelon land?
(Referring to the previous problem.) What is the speed (in m/s) of the watermelon the instant before it strikes the water?
The Aculpulco cliff divers dive from a cliff that is 58.3 m high. The rocks below the cliff extend horizontally outward for 20.3 m. What is the minimum horizontal velocity (in m/s) a diver must have when leaving the cliffs to clear the rocks safely? Assume that the divers take a horizontal leap off the cliff.
A Hot Wheels car rolls off a table at a speed of 2.36 m/s and hits the floor a distance of 87.4 cm from the table's edge. Determine the height (in cm) of the table. (Take notice of the units being used)
A ball rolls off a 97-cm high table and hits the ground a distance of 2.1 m from the base of the table. Determine the speed (in m/s) of the ball the moment it leaves the table.
(Referring to the previous problem.) Determine the magnitude of the acceleration (in m/s/s) of the ball after it has fallen halfway to the ground.
(Referring to the previous problem.) Determine the speed (in m/s) of the ball just prior to hitting the ground.
An airplane is traveling 884 meters above the ocean at a speed of 123 km/hr. The plane wishes to drop a box of supplies to shipwrecked victims in the water below. In order to have a successful mission, how far horizontally (in meters) from the wreckage site must the plane be when dropping the package?
Two objects are initially the same height above the ground. Simultaneously, one is released from rest and the other is shot off horizontally with an initial speed of 2.36 m/s. The two objects collide after falling 17.2 m. How far apart (in meters) were the objects initially?
A student throws a baseball horizontally out a dorm room window 19.8 m above the ground. Another student standing a distance of 24.4 m from the dorm building catches the baseball at a height of 1.1 m above the ground. What is the initial velocity (in m/s) of the baseball?
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