Problem 9 A rock is thrown off of the edge of a 120 meter tall cliff with an initial speed of 25 m/s at an angle of 35 degrees above the horizontal. Ignore air resistance a) How much time elapses (in units of seconds) between the moment the rock is thrown and the moment the rock lands on the ground below? b) How far does the rock travel (in units of meters) in the horizontal direction before landing? c) How fast is the rock moving (in m/s) just before it hits the ground? d) What direction is the rock moving in just before it hits the ground (in terms of an angle below the horizontal)?

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Chapter1: Units, Trigonometry. And Vectors
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Problem 9
A rock is thrown off of the edge of a 120 meter tall cliff with an initial speed of 25 m/s at
an angle of 35 degrees above the horizontal. Ignore air resistance
a) How much time elapses (in units of seconds) between the moment the rock
is thrown and the moment the rock lands on the ground below?
b) How far does the rock travel (in units of meters) in the horizontal direction
before landing?
c) How fast is the rock moving (in m/s) just before it hits the ground?
d) What direction is the rock moving in just before it hits the ground (in terms of
an angle below the horizontal)?
Transcribed Image Text:Problem 9 A rock is thrown off of the edge of a 120 meter tall cliff with an initial speed of 25 m/s at an angle of 35 degrees above the horizontal. Ignore air resistance a) How much time elapses (in units of seconds) between the moment the rock is thrown and the moment the rock lands on the ground below? b) How far does the rock travel (in units of meters) in the horizontal direction before landing? c) How fast is the rock moving (in m/s) just before it hits the ground? d) What direction is the rock moving in just before it hits the ground (in terms of an angle below the horizontal)?
Expert Solution
Step 1
  • When an object is obliquely near the earth's surface, it moves in a curved path. The object is called the projectile and the path of its motion is called as projectile motion. The acceleration of the object is almost constant throughout its motion and is equal to the acceleration due to gravity, g.

  • x and y-axis motion of the object is independent of each other.

  • kinematic equation of motion in vertical direction-
    y=y0+v0yt-12gt2where,y0 is initial positiony is final positionv0y is initial speed in y directiont is time
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