Projectile Motion Study Guide Academic Answers

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  • 5/28/2018 Projectile Motion Study Guide Academic Answers

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    Academic Physics Name: ______________________________________________________________________________ Date: ___ Period __

    Vectors and Projectile Motion Review Answers

    If your answer differs from the given answer, we can check it in class.____ 1. Which of the following is a physical quantity that has a magnitude but no direction?

    a

    .

    vector c

    .

    resultant

    b.

    scalar d.

    frame of reference

    ____ . Identify the following quantities as scalar or vector! the mass of an ob"ect, the number of leaves on a tree,

    wind velocity.

    a

    .

    vector, scalar, scalar c

    .

    scalar, vector, scalar

    b.

    scalar, scalar, vector d.

    vector, scalar, vector

    ____ #. Identify the following quantities as scalar or vector! the speed of a snail, the time it takes to run a mile, the

    free$fall acceleration.

    a

    .

    vector, scalar, scalar c

    .

    vector, scalar, vector

    b

    .

    scalar, scalar, vector d

    .

    scalar, vector, vector

    ____ %. &or the winter, a duck flies 1'.' m(s due south against a gust of wind with a velocity of .) m(s. What is th

    resultant velocity of the duck?

    a

    .

    1.) m(s south c

    .

    7.5 ms so!th

    b

    .

    *1.) m(s south d

    .

    *+.) m(s south

    ____ ). lightning bug flies at a velocity of '.) m(s due east toward another lightning bug seen off in the distance

    light easterly bree-e blows on the bug at a velocity of '.) m(s. What is the resultant velocity of the lightni

    bug?

    a

    .

    '.)' m(s c

    .

    '.+) m(s

    b

    .

    "."" ms d

    .

    '.) m(s

    ____ . cave e/plorer travels #.' m eastward, then .) m northward, and finally 1) m westward. 0se the graphic

    method to find the magnitude of the net displacement.a

    .

    #$ m c

    .

    1 m

    b

    .

    ).+ m d

    .

    1) m

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    ____ +. car travels down a road at a certain velocity, vcar. 2he driver slows down so that the car is traveling only h

    as fast as before. Which of the following is the correct e/pression for the resulting velocity?

    a

    .

    vcar c

    . * vcar%

    . vcar

    d

    .

    *vcar

    ____ . Which of the following is the best coordinate system to analy-e an ob"ect thrown into the air?

    a

    .

    x$a/is! perpendicular to the ground3 y$a/is! up and down

    b

    .

    x$a/is! up and down3 y$a/is! parallel to the ground

    c

    .

    x&a'is: (arallel to the )ro!nd* y&a'is: (er(endic!lar to the )ro!nd

    d

    .

    x$a/is! up and down3 y$a/is! perpendicular to the ground

    ____ 4. quarterback takes the ball from the line of scrimmage and runs backward for 1.' 1'1m then sideways

    parallel to the line of scrimmage for 1) m. 2he ball is thrown forward ).' 1'1m perpendicular to the line

    scrimmage. 2he receiver is tackled immediately. 5ow far is the football displaced from its original position

    a

    .

    + m c

    .

    m

    b

    .

    )) m d

    .

    +) m

    ____1' . plane flies from city to city 6. 7ity 6 is 1)%' km west and 11' km south of city . What is the total

    displacement and direction of the plane?

    a

    .14#' km, %#.'south of west c

    .1)' km, #+.'south of west

    b

    .

    1)' km, %#.'south of west d

    .

    #-" m, 7." so!th o/ west

    ____11In a coordinate system, the x$component of a given vector is equal to that vector8s magnitude multiplied by whi

    trigonometric function, with respect to the angle between the vector and the x$a/is?

    a

    .the cosine o/ c

    .the tangent of

    b.

    the sine of d.

    the cotangent of

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    ____ 1. In a coordinate system, if the xcomponent of a vector and the angle between the vector and x$a/is are know

    then the magnitude of the vector is calculated by which operation, taken with respect to the xcomponent?

    a

    .dividing by the sine of c

    .multiplying by the sine of

    b

    .dividin) %y the cosine o/ d

    .multiplying by the cosine of

    ____ 1#. n athlete runs 11' m across a level field at an angle of #'.'north of east. What are the east and north

    components, respectively, of this displacement?

    a

    .

    % m3 14' m c

    .-5 m* 55 m

    b

    .

    14' m3 % m d

    .

    )) m3 4) m

    ____ 1%. 9ector Ais #. units in length and points along the positive y$a/is. 9ector 0is %. units in length and point

    along a direction 14)counterclockwise from the positive x$a/is. What is the magnitude of the resultant wh

    vectors Aand 0are added?

    a

    .

    1. units c

    .+.1 !nits

    b

    .

    . units d

    .

    ). units

    ____ 1). Which of the following is the motion of ob"ects moving in two dimensions under the influence of gravity?

    a

    .

    hori-ontal velocity c

    .

    parabola

    b.

    directri/ d.

    (rojectile motion

    ____ 1. Which of the following is :;2 an e/ample of pro"ectile motion?

    a

    .

    a volleyball served over a net c

    .

    a hot&air %alloon dri/tin) toward

    2arth

    b.

    a baseball hit by a bat d.

    a long "umper in action

    ____ 1+. What is the path of a pro"ectile?

    a

    .

    a wavy line

    b

    .a (ara%ola

    c

    .

    a hyperbola

    d

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    .

    ____ 1. stone is thrown at an angle of #'.'above the hori-ontal from the top edge of a cliff with an initial speed

    1 m(s. stopwatch measures the stone8s tra"ectory time from the top of the cliff to the bottom at ). s. Wh

    is the height of the cliff? =>isregard air resistance. g 4.1 m(s.@a

    .

    ) m c

    .

    #$" m

    b

    .

    1)' m d

    .

    1' m

    ____ 14. track star in the long "ump goes into the "ump at 1 m(s and launches herself at '.'A above the hori-onta

    5ow long is she in the air before returning to Barth? =g 4.1 m(s@

    a

    .

    '.% s c

    .

    1.) s

    b

    .

    ".1 s d

    .

    1. s

    ____ '. model rocket flies hori-ontally off the edge of the cliff at a velocity of )'.' m(s. If the canyon below is

    1''.' m deep, how far from the edge of the cliff does the model rocket land?

    a

    .

    11 m c

    .

    ##+ m

    b

    .

    $$5 m d

    .

    %'' m

    ____ 1. firefighter )'.' m away from a burning building directs a stream of water from a fire hose at an angle of

    #'.'above the hori-ontal. If the velocity of the stream is %'.' m(s, at what height will the stream of waterstrike the building?a

    .

    4.' m c

    .

    #1.7 m

    b

    .

    1#.% m d

    .

    .% m

    ____ . passenger on a bus moving east sees a man standing on a curb. &rom the passenger8s perspective, the maappears to

    a

    .

    stand still.

    b.

    move west at a speed that is less than the bus8s speed.

    c

    .

    move west at a s(eed that is e3!al to the %!s4s s(eed.

    d

    .

    move east at a speed that is equal to the bus8s speed.

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    ____ #. piece of chalk is dropped by a teacher walking at a speed of 1.) m(s. &rom the teacher8s perspective, the

    chalk appears to fall

    a

    .

    strai)ht down. c

    .

    straight down and forward.

    b.

    straight down and backward. d.

    straight backward.

    ____ %. superhero flying at treetop level sees the Biffel 2ower elevator begin to free fall. If the superhero is 1.'' away from the tower and the elevator falls from a height of %'.' m, how long does the superhero have to

    save the people in the elevator? What should the superhero8s average velocity be?

    a

    .

    + s3 ### m(s c

    .

    7 s* #+ ms

    b

    .

    ) s3 '' m(s d

    .

    4 s3 111 m(s

    hort Answer

    ). What are the velocities and accelerations at the ma/imum altitude of an ob"ect thrown upward at an angle?

    9/is constant, 9yis-ero, a/is always -ero =after it leaves your hand@, ay g $4.1 m(s(s always.

    . Cultiplying or dividing vectors by scalars can be described as scaling, and results in a new scalar or a new

    vector? new vector =longer or shorter than the first, but in the same direction.

    +. What are the ma/imum and minimum amplitudes for two velocity vectors if one is +) m(s and another is

    m(s? s the direction is not specified, you can place them in line with each other and "ust add for the

    ma/imum and subtract for the minimum depending if the are pointing the same direction or the oppositedirection.

    . 2o graphically add vectors together, one can use the head to tail technique or the parallelogram technique. I

    the last you complete the _parallelogram_ and draw the resultant vector from the __verte/___ to the

    opposite corner.

    4. If vector =$)' in magitude@ and vector 6=$' in magnitude@ were in$line with each other, what would be

    6, 6$, 6D#? $#', D#', $14'