1. You see your dog @ a distance and hit the brakes. Bike decelerates @ 1m/s^2. Initial speed is 7m/s , how long will it take for you to stop ? 2. You are on a diving board over a pool. You throw a ball up @ a speed of 2m/s. On it's way down the ball misses the diving board and hits the water below @ 10m/s. How high is the board ?
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.

Concept :-
The questions are based on one-dimensional accelerated motion.
Equations that can be used to solve such problems are:-
a) v = u + a t
b) s = ut + 1/2 at2
c) v2 -u2 = 2as
Where
v = final velocity
u = initial velocity
s = displacement
a = acceleration
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