**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.

**Directions:**

For the following problems:

- Compute the unknown quantity and enter the answer in the blank.
- Use 9.8 m/s/s as the numerical value of g for situations upon Earth.
- Do not round any computed numbers until the last calculation.
- Unless told otherwise, enter your answers accurate to the second decimal place.
- Unless told otherwise, enter positive numbers for your answers.

**Problem 1:**

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?

**Problem 2:**

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?

**Problem 3: **

(Referring to the previous problem.) How far (in meters) from the base of the cliff does the stone land?

**Problem 4:**

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?

**Problem 5:**

(Referring to the previous problem.) What is the horizontal component of velocity (in m/s) of the cat just prior to hitting the floor?

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**Problem 6:**

(Referring to the previous problem.) What is the vertical component of velocity (in m/s) of the cat just prior to hitting the floor?

**Problem 7: **

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.

**Problem 8:**

(Referring to the previous problem.) How far (in meters) from the base of the platform does the watermelon land?

**Problem 9:**

(Referring to the previous problem.) What is the speed (in m/s) of the watermelon the instant before it strikes the water?

**Problem 10: **

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.

**Problem 11:**

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)

**Problem 12:**

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.

**Problem 13: **

(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.

**Problem 14:**

(Referring to the previous problem.) Determine the speed (in m/s) of the ball just prior to hitting the ground.

**Problem 15:**

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?

**Problem 16:**

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?

**Problem 17:**

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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