When an object moves up and down the y-axis with an acceleration given as a function of time?

When an object moves up and down the y-axis with an acceleration given as a function of time?

An object moves up and down the y-axis with an acceleration given as a function of time t by the expression a = A sin ωt, where A and ω are constants.

How do you flip a parabola over the y-axis?

Reflection Over the Y- Axis Now, let’s go back to our simple equation of y = x^2. What if we wanted to reflect it over the y-axis? In this case y = x^2 would become y = (-x)^2; because, a parabola is symmetric in general, and in this case it’s symmetric about the y-axis, the exact same graph would be created.

What does the y-axis represent in this graphic?

What does the y-axis represent? The y-axis represents the vertical distance a point lies from the x-axis.

How do you find the y-axis?

A y-axis is the line on a graph that is drawn from bottom to top. This axis is parallel to which coordinates are measured. The numbers placed on the y-axis are called y-coordinates.

Is acceleration on the y-axis?

Acceleration-Time Graph shows the acceleration plotted against time for a particle moving in a straight line. The acceleration-time plots acceleration values on the y-axis and time values on the x-axis.

What force acts in the Y direction that causes a projectile to travel downwards?

In conclusion, projectiles travel with a parabolic trajectory due to the fact that the downward force of gravity accelerates them downward from their otherwise straight-line, gravity-free trajectory.

How do you move a parabola up and down?

The function y=x2+b has a graph which simply looks like the standard parabola with the vertex shifted b units along the y-axis. Thus the vertex is located at (0,b). If b is positive, then the parabola moves upwards and, if b is negative, it moves downwards.

What is it called when you flip a figure over the y-axis?

Reflections over the x-axis are called vertical reflections. Reflections over the y-axis are called horizontal reflections.

What makes a graph flip over the y-axis?

We can reflect the graph of any function f about the x-axis by graphing y=-f(x) and we can reflect it about the y-axis by graphing y=f(-x). We can even reflect it about both axes by graphing y=-f(-x). See how this is applied to solve various problems.

Is the y-axis up or down?

Once you know them using these clues, you’ll never forget them again! Reminder: the x-axis really runs left and right, and the y-axis runs up and down. Notice the arrows at the ends of the blue and purple lines? Those indicate the lines go on forever.

What does Z axis mean?

noun,plural z-ax·es [zee-ak-seez]. Mathematics. (in a three-dimensional Cartesian coordinate system) the axis along which values of z are measured and at which both x and y equal zero.

What line is vertical?

In a coordinate plane, a line parallel to the Y-axis is called Vertical Line. It is a straight line which goes from top to bottom and bottom to top.

What happens to the acceleration of an object when it goes up and down?

Acceleration from gravity is always constant and downward, but the direction and magnitude of velocity change. At the highest point in its trajectory, the ball has zero velocity, and the magnitude of velocity increases again as the ball falls back toward the earth (see figure 1).

What is the acceleration in the y-axis for an object undergoing projectile motion?

If the path or trajectory of the projectile is near the earth’s surface, ay has a magnitude of 9.80 m/s2. In this text, then, the phrase “projectile motion” means that ax = 0 m/s2 and ay equals the acceleration due to gravity, as the Concept-at-a-Glance chart in Figure 3.8 summarizes.

What is the acceleration along the y-axis of a projectile?

In a Projectile Motion, there are two simultaneous independent rectilinear motions: Along the x-axis: uniform velocity, responsible for the horizontal (forward) motion of the particle. Along the y-axis: uniform acceleration, responsible for the vertical (downwards) motion of the particle.

When you throw an object up at an angle what is its acceleration in the y direction at the very top of its motion?

At the very top of it’s motion, the ball has an acceleration of -9.8 m/s^2. Nothing happens to the direction of the ball’s motion and on the way up the speed decreases. At the very top the speed is 0 and the acceleration is equal to the force of gravity.