Problemset1 kinematics, Exams of Accounting

Math - Math

Typology: Exams

2014/2015

Uploaded on 11/13/2015

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Sept2015-Jan2016 AppliedMath1A fzc
Practice Problems Set 1: Kinematics
1. You are throwing a ball straight up in the air. At the highest point, the ball’s
a) velocity and acceleration are zero
b) velocity is nonzero but its acceleration is zero
c) acceleration is nonzero, but its velocity is zero
d) velocity and acceleration are both nonzero.
2. An object goes from one point in space to another. After it arrives at its destination, the
distance it travelled is:
a) either greater than or equal to
b) always greater than
c) always equal to
d) either smaller than or equal to
e) always smaller than
f) either smaller or larger than
the magnitude of the displacement.
3. The graph shows position as a function of time for two trains running on parallel tracks.
For times greater than t =0, which is true:
a) At time tB, both trains have the same velocity.
b) Both trains speed up all the time.
c) Both trains have the same velocity at some time earlier than tB,.
d) Somewhere on the graph, both trains have the same acceleration.
4. A person standing at the edge of a cliff throws one ball straight up and another ball
straight down, each at the same initial speed. Neglecting air resistance, which ball hits
the ground below the cliff with the greater speed?
a) ball initially thrown upward;
b) ball initially thrown downward;
c) neither; they both hit at the same speed.
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Sept2015-Jan2016 AppliedMath1A fzc

Practice Problems Set 1: Kinematics

  1. You are throwing a ball straight up in the air. At the highest point, the ball’s

a) velocity and acceleration are zero b) velocity is nonzero but its acceleration is zero c) acceleration is nonzero, but its velocity is zero d) velocity and acceleration are both nonzero.

  1. An object goes from one point in space to another. After it arrives at its destination, the distance it travelled is:

a) either greater than or equal to b) always greater than c) always equal to d) either smaller than or equal to e) always smaller than f) either smaller or larger than

the magnitude of the displacement.

  1. The graph shows position as a function of time for two trains running on parallel tracks. For times greater than t =0 , which is true:

a) At time tB , both trains have the same velocity. b) Both trains speed up all the time. c) Both trains have the same velocity at some time earlier than tB ,. d) Somewhere on the graph, both trains have the same acceleration.

  1. A person standing at the edge of a cliff throws one ball straight up and another ball straight down, each at the same initial speed. Neglecting air resistance, which ball hits the ground below the cliff with the greater speed?

a) ball initially thrown upward; b) ball initially thrown downward; c) neither; they both hit at the same speed.

2

Sept2015-Jan2016 AppliedMath1A fzc

  1. The graph below represents the y-component of the velocity of an object as a function of time. Which of the following could be a reasonable description of its motion?

a) The object accelerates upward at a constant rate and then accelerates downward until it hits the ground at t = 6 s. b) The object accelerates upward at a constant rate and then accelerates downward until it reaches it highest point at t = 6 s. c) The object accelerates upward at a non-constant rate and then accelerates downward until it hits the ground at t = 6 s. d) The object accelerates upward at a non-constant rate and then accelerates downward until it reaches it highest point at t = 6 s. e) None of the above.

  1. A body moves along a straight line from A to B with uniform acceleration 2/3 m/s^2. The time taken is 12s and the velocity at B is 25 m/s. Find:

a) the velocity at A b) the distance AB

  1. A stone slides in a straight line across a horizontal sheet of ice. It passes a point A with velocity 14 m/s, and the point B 2.5 seconds later. Assuming the retardation is uniform and that AB=30 m, find:

a) the retardation b) the velocity at B c) how long after passing A the stone comes to rest.

  1. A particle is projected away from an origin O with an initial velocity of 0.25 m/s. The particle travels in a straight line and accelerates at 1.5 m/s^2. Find:

a) how far the particle is from O after 3s b) the distance travelled by the particle during the fourth second after projection.

  1. A stone is thrown vertically upwards with a speed of 20 m/s from a point at a height h metres above ground level. If the stone hits the ground 5 seconds later, find h.
  2. A particle is projected vertically upwards with a velocity of 34.3 m/s. Find how long after projection the particle is at a height of 49 m above the point of projection for:

a) the first time b) the second time.