# Constant rate

A moving item with a constant rate should move at a constant pace and within the same direction. Constant rate motion is one of the foremost basic types of motion. like a disk slippy over the ice, this type of motion happens once AN item moves (or slides) within the presence of very little or no friction.

To possess a relentless rate, AN item should move at a relentless speed in a very constant direction. once AN item incorporates a consistent direction, it will solely move in a very line.

Newton’s second law states that once a force is applied to AN object, it’ll accelerate. External forces mustn’t be applied to the item if the acceleration is zero. this could be mathematically described as follows:

a = DV/DT = zero-zero v =const.

The graph of distance vs. time (x vs. t) illustrates a constant modification in position throughout every amount of your time if AN item is traveling at a constant rate. As a result, AN item moving at a constant rate is described as a straight line:

x = x0 + Green Mountain State, wherever x0 is that the displacement once t = zero (or at the coordinate axis intercept). If you recognize AN object’s trace through time, you’ll be able to additionally get its rate. we will reckon the rate from the modification in the distance over time given a graph like this.

The slope of the road is scanned because of the rate in graphical terms. The sign of our slope indicates whether or not the speed is positive or negative. this means the manner the item is moving.

**Constant Acceleration**

The object is named a projectile, and also the path it follows is named a flight. The motion of falling things may be an easy one-dimensional projectile motion with no horizontal movement. there’s a vertical and a horizontal part to two-dimensional motion, like that of soccer or alternative threw item.

The foremost vital factor to recollect is that motion on perpendicular axes is freelance of 1 another then is also examined severally. Breaking down 2-dimensional projectile motion into two movements, one on the vertical axis and also the alternative on the horizontal axis is that the key to understanding it.

We have a tendency to should embrace rate, acceleration, and displacement once describing motion. All forces aside from gravity (such as air resistance and friction, for example) are going to be assumed to be insignificant.

The elements of acceleration are so rather straightforward: ay = −g = −9.81m/s2 (we assume that the motion happens at sufficiently small heights close to the surface of the earth). as a result of gravity’s acceleration being solely within the vertical direction, ax = 0. Thus, the subsequent kinematic equations are also wont to describe motion within the x and y directions:

x = x0 + vxt

vy = v0y + ayt

y = y0 + v0yt + 1/2ayt2

v2y = v20y + 2ay(y−y0)

To investigate it, we have a tendency to divide 2-dimensional projectile motion into two one-dimensional motions on the vertical and horizontal axes.

As a result of ax = zero and thence vx is constant, horizontal motion is straightforward. As AN item climbs, its vertical rate begins to diminish; at its greatest purpose, the vertical rate is zero.

The vertical rate of AN item because it descends towards the planet grows in magnitude however points within the wrong way of the beginning vertical rate. the rate is also calculated by combining the x and y movements at any purpose on the flight.

**Key Points**

The term “constant velocity” refers to AN item traveling in a very straight path at a relentless speed.

This line is also written algebraically as x = x0 +vt, wherever x0 denotes the object’s location at t = zero, and also the slope denotes the object’s speed.

The sign of our slope indicates whether or not the speed is positive or negative. this means the manner the item is moving.

Motion that doesn’t alter in speed or direction is named as constant rate.

In 2 dimensions, constant acceleration in motion generally follows a projectile pattern.

The motion of AN item launched or projected into the air, subject solely to gravity’s (vertical) acceleration, is thought of as projectile motion.

**kinematic:** relating or involving motion or mechanics.

Important Question: A ball rolls off the prime of stairs with a horizontal rate u m s^-1. If the steps are h meter high and b mere wide, the ball can simply hit the sting of the nth step. notice the worth of n.?