Slide on! A block placed on an incline oriented 42° with respect to the horizontal has velocity u = 13.4 [m/s] i- 12.0 [m/s] j at time t = 0.00 [s). If its acceleration is a = 0.706 [m/s]i – 0.636 [m/s"]j, what is the velocity v after t = 15.0 [s]? O 24.0 [m/s] i – 9.54 [m/s] j O 24.0 [m/s] î – 21.5 [m/s] j O 10.6 [m/s] î – 21.5 [m/s] j O 3.86 [m/s] i – 1.41 [m/s] j
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.
![Slide on! A block placed on an incline oriented 42° with respect to the horizontal has
velocity u = 13.4 [m/s] i – 12.0 [m/s] j at time t = 0.00 [s). If its acceleration is
a = 0.706 [m/s']i – 0.636 [m/s']j, what is the velocity v after t = 15.0 [s]?
O 24.0 [m/s] i – 9.54 [m/s] j
O 24.0 [m/s] i – 21.5 [m/s] j
O 10.6 [m/s] i – 21.5 [m/s] j
O 3.86 [m/s] i – 1.41 [m/s] j](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe3d35df2-e7de-4d6b-9002-0451843cf9be%2Fc52fcecc-0b47-4919-b667-60741c9ba6cc%2Fex2kv3_processed.jpeg&w=3840&q=75)
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