What are the velocity and acceleration of the projectile at the maximum height?

At a projectile’s highest point, its velocity is zero. At a projectile’s highest point, its acceleration is zero.

What is the dot product of velocity and acceleration?

Show that if the dot product of the velocity and acceleration of a moving particle is positive (or negative), then the speed of the particle is increasing (or decreasing). If at all times t the position and velocity vectors of a moving particle satisfy v(t)=r(t), and if r(0)=r0, find r(t) and the acceleration a(t).

What is the acceleration of a projectile at its maximum height?

0 m/s/s
The vertical acceleration of a projectile is 0 m/s/s when it is at the peak of its trajectory.

What happens to velocity and acceleration at maximum height?

Since gravity pulls the object toward the earth with a constant acceleration g, the magnitude of velocity decreases as the ball approaches maximum height. Acceleration from gravity is always constant and downward, but the direction and magnitude of velocity change.

What is the velocity of the particle at maximum height in case of projectile motion?

When the projectile reaches a vertical velocity of zero, this is the maximum height of the projectile and then gravity will take over and accelerate the object downward. The horizontal displacement of the projectile is called the range of the projectile, and depends on the initial velocity of the object.

How do you find the velocity of a projectile at the highest point?

By “height” we mean the altitude or vertical position y above the starting point. The highest point in any trajectory, called the apex, is reached when vy = 0. Since we know the initial and final velocities, as well as the initial position, we use the following equation to find y: v2y=v20y−2g(y−y0).

What is the dot product of velocity?

A dot product is where you multiply one vector by the component of the second vector, which acts in the direction of the first vector. In the first equation, the angle is the angle between the two vectors. In the second, you have to multiply the x components and the y components, and then add the totals up.

What is the dot product of two velocity vectors?

The dot product of two vectors is the product of the magnitude of each vector and the cosine of the angle between them: ⇀u⋅⇀v=‖⇀u‖‖⇀v‖cosθ.

What is the velocity of projectile at maximum height?

When a projectile reaches maximum height, the vertical component of its velocity is momentarily zero (vy = 0 m/s). However, the horizontal component of its velocity is not zero.

What happens to velocity at maximum height?

The maximum height of a object in a projectile trajectory occurs when the vertical component of velocity, vy , equals zero. As the projectile moves upwards it goes against gravity, and therefore the velocity begins to decelerate.