An object is dropped (initial velocity is zero) from a height of 40 meters. Assume the acceleration due to gravity a=g=9.81 m/s^2. Calculate: a.) the object's final velocity just before it hits the ground b.) the time it took the object to hit the ground
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.
An object is dropped (initial velocity is zero) from a height of 40 meters. Assume the acceleration due to gravity a=g=9.81 m/s^2. Calculate:
a.) the object's final velocity just before it hits the ground
b.) the time it took the object to hit the ground
Given:
u=0 m/s, s=40m, a=9.81m/s2
a) to find final velocity we use
v2=u2+2*a*s
v2=0 + 2*9.81*40
v2= 784.8
v = 28.01 m/s
b) to find the time taken we use
v = u+a*t
28.01= 0+9.81*t
t = 2.86 s
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