❖ Page 77- Practice problem 3.7 Suppose the pear is released from a height of 6.00m above the archer's arrow, the arrow is shot at a speed of 30.0m/s, and the distance between the archer and the base of the tower is 15.0m. Find the time at which the arrow hits the pear, the distance the pear has fallen, and the height of the arrow above its release point. Answers: 0.54s, 1.4m, 4.6m.
Displacement, Velocity and Acceleration
In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.
Linear Displacement
The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.
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Page 76- Practice Problem 3.6
If the kicker gives the ball the same initial speed and angle
but the ball is kicked from a point 25m from the goalpost,
what is the height of the ball above the crossbar as it
crosses over the goalpost? Answer: 1.2m.
Page 77- Practice problem 3.7
Suppose the pear is released from a height of 6.00m above
the archer's arrow, the arrow is shot at a speed of 30.0m/s,
and the distance between the archer and the base of the
tower is 15.0m. Find the time at which the arrow hits the
pear, the distance the pear has fallen, and the height of the
arrow above its release point. Answers: 0.54s, 1.4m, 4.6m.
Page 80-Practice Problem 3.8
A more reasonable maximum acceleration for varying
pavement conditions is 5.0m/s². Under these conditions,
what is the maximum speed at which a car can negotiate a
flat curve with radius 230m? Answer: 34m/s-76mi/h.
Page 81- Practice Problem 3.9
If the ride increases in speed so that T = 2.0S, what is ad?
(this question can be answered by using proportional
reasoning, without much arithmetic.) Answer: 49 m/s².
Page 83 - Practice Problem 3.10
If the plane its airspeed of 240km/h, but the wind
decreases, what is the wind speed if the plane's velocity
with respect to earth is 15° east of north? Answer: 64 km/h.
❖ Page 84 - Practice Problem 3.11
If the pilot was forced to reduce the plane's speed to
150km/h, how much would she need to increase the angle
at which the plane is pointing (relative to north) in order for
the plane to continue to travel due north? Answer: 8.7°
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