A movie stuntwoman drops from a helicopter that is 30.0 m above the ground and moving with a constant velocity whose components are 10.0 m/s upward and 15.0 m/s horizontal and toward the south. Ignore air resistance, (a) Where on the ground (relative to the position of the helicopter when she drops) should the stuntwoman have placed foam mats to break her tail, (b) Draw x - t , y - t , υ x - t , and υ y - t graphs of her motion.
A movie stuntwoman drops from a helicopter that is 30.0 m above the ground and moving with a constant velocity whose components are 10.0 m/s upward and 15.0 m/s horizontal and toward the south. Ignore air resistance, (a) Where on the ground (relative to the position of the helicopter when she drops) should the stuntwoman have placed foam mats to break her tail, (b) Draw x - t , y - t , υ x - t , and υ y - t graphs of her motion.
A movie stuntwoman drops from a helicopter that is 30.0 m above the ground and moving with a constant velocity whose components are 10.0 m/s upward and 15.0 m/s horizontal and toward the south. Ignore air resistance, (a) Where on the ground (relative to the position of the helicopter when she drops) should the stuntwoman have placed foam mats to break her tail, (b) Draw x-t, y-t, υx-t, and υy-t graphs of her motion.
A football player punts the football so that it will have a “hang time” (time of flight) of 4.5 s and land 46 m away. If the ball leaves the player’s foot 150 cm above the ground, what must be the (a) magnitude and (b) angle (relative to the horizontal) of the ball’s initial velocity?
From the window of a building, a ball is tossed from a height y0 above the ground with an initial velocity of 8.60 m/s and angle of 18.0° below the horizontal. It strikes the ground 5.00 s later.
(a) If the base of the building is taken to be the origin of the coordinates, with upward the positive y-direction, what are the initial coordinates of the ball? (Use the following as necessary: y0.)
xi
=
0
yi
=
γ0
(b) With the positive x-direction chosen to be out the window, find the x- and y-components of the initial velocity.
vi,x
=
m/s
vi,y
=
m/s
(c) Find the equations for the x- and y- components of the position as functions of time. (Use the following as necessary: y0 and t. Let the variable t be measured in seconds.)
x
=
m
y
=
m
(d) How far horizontally from the base of the building does the ball strike the ground? m(e) Find the height from which the ball was thrown. m(f) How long does it take the ball to reach a point 10.0…
A stone is catapulted at time t = 0, with an initial velocity of magnitude 20.5 m/s and at an angle of 40.2° above the horizontal. What are
the magnitudes of the (a) horizontal and (b) vertical components of its displacement from the catapult site at t = 1.13 s? Repeat for the
(c) horizontal and (d) vertical components at t = 1.77 s, and for the (e) horizontal and (f) vertical components at t = 5.47 s. Assume that
the catapult is positioned on a plain horizontal ground.
Chapter 3 Solutions
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