An initially stationary hovercraft sits on a large lake. When a whistle blows the hovercraft accelerates due north at a rate of 1.2 m s−2 for 10 s, does not accelerate at all for the next 10 s, and then accelerates at a rate of 0.6 m s−2 due east for another 10 s. The hovercraft then coasts for another 10 s without any acceleration.(a) What is the velocity of the hovercraft 40 s after the whistle blows? (b) What is the displacement of the hovercraft 40 s after the whistle blows?
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 initially stationary hovercraft sits on a large lake. When
a whistle blows the hovercraft accelerates due north at a rate of
1.2 m s−2
for 10 s, does not accelerate at all for the next 10 s, and
then accelerates at a rate of 0.6 m s−2 due east for another 10 s. The
hovercraft then coasts for another 10 s without any acceleration.(a) What is the velocity of the hovercraft 40 s after the whistle
blows?
(b) What is the displacement of the hovercraft 40 s after the
whistle blows?
Step by step
Solved in 6 steps with 6 images
