Jack and Jill saw a man snatch a woman’s phone 6.00 m in front of them. The snatcher ran away with a constant speed of 3.00 m/s2. Jack ran after the snatcher right away with an acceleration of 1.50 m/s2. When Jack started running after the snatcher, Jill took off her shoe and threw it towards the snatcher with a speed of v0 = 10.0 m/s, 45.0 degrees from the horizontal. Assuming that Jill threw her shoe at an initial height equal to that of the snatcher (ℎ?), C. How long will it take for Jill’s shoe to reach ℎ? again? D. How far from her will Jill’s shoe be when it reaches the height ℎ? again? E. Will Jill’s shoe hit the snatcher’s head? Show your solution.
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.
Jack and Jill saw a man snatch a woman’s phone 6.00 m in front of them. The snatcher ran away with a
constant speed of 3.00 m/s2. Jack ran after the snatcher right away with an acceleration of 1.50 m/s2.
When Jack started running after the snatcher, Jill took off her shoe and threw it towards the snatcher with a
speed of v0 = 10.0 m/s, 45.0 degrees from the horizontal. Assuming that Jill threw her shoe at an initial
height equal to that of the snatcher (ℎ?),
C. How long will it take for Jill’s shoe to reach ℎ? again?
D. How far from her will Jill’s shoe be when it reaches the height ℎ? again?
E. Will Jill’s shoe hit the snatcher’s head? Show your solution.
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