A carpenter accidentally dropped his hammer from the roof top of the house he is repairing. If the hammer hits the ground after 1.68 seconds, how high is the house?
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.
- A carpenter accidentally dropped his hammer from the roof top of the house he is repairing. If the hammer hits the ground after 1.68 seconds, how high is the house?
- A student throws a set of keys vertically upward to her sorority sister who is in a window 4.00m above. The keys are caught 1.50s later by the sister’s outstretched hand. (a) With what initial velocity were the keys thrown? (b) What was the velocity of the keys just before they were caught?
- A particle moves according to the equation , where v is in meters per second and t is in seconds.
(a) Find the average acceleration for the time interval from 2.00s to 3.00s.
(b) Find the instantaneous acceleration at t = 2.00s and at t = 3.00s. - An object is at x = 0 at t = 0 and moves along the x axis. (a) What is the acceleration of the object between 0 and 4s? (b) What is the acceleration of the object between 4s and 9s? (c) What is the acceleration of the object between 13s and 18s? (d) At what time(s) is the object moving with the lowest speed?
- A jet plane comes in for a landing with a speed of 100m/s, and its acceleration can have a maximum magnitude of 5.00m/s2 as it comes to rest from the instant the plane touches the runway, what is the minimum time interval needed before it can come to rest?
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