The ball has an instantaneous velocity of zero at the highest point of its trajectory. This is because at that point, the ball changes direction from going up to coming down, causing its velocity to momentarily be zero before increasing in the opposite direction.
If it is thrown at an angle, at the top of its path, its vertical velocity will be zero, however its horizontal velocity will be the same as its initial horizontal velocity minus whatever loss in speed as a result of air friction at that point. We won't know what that is without more information.
The highest point is the point where the ball's velocity transitions from upward to downward. At that instant, the ball's speed, velocity, momentum, and kinetic energy are all exactly zero.
A simple example is a ball tossed into the air. When the ball reaches its apex -- its highest point -- its instantaneous velocity is zero. If we assume that up is the positive direction, the ball's velocity is positive when it is initially tossed into the air, but it slows immediately. That is, its velocity becomes less positive until it reaches zero velocity. After that point, the velocity becomes increasingly negative (because down is the negative direction). Until the ball returns to earth and reaches the height at which it was initially thrown, its average velocity is non-zero. If the ball is allowed to hit the ground, its average velocity will be slightly negative, which is still non-zero. But it still had an instant -- at its apex -- when its velocity was zero.
At the highest point of a ball's vertical motion, its velocity is zero. This is because the ball briefly comes to a stop before falling back down due to gravity.
If the average acceleration is zero, it means that the object's velocity is not changing over time. Since instantaneous acceleration is the acceleration at a specific moment in time, it can still have a non-zero value depending on the instantaneous velocity of the object at that moment.
instantaneous velocity
If it is thrown at an angle, at the top of its path, its vertical velocity will be zero, however its horizontal velocity will be the same as its initial horizontal velocity minus whatever loss in speed as a result of air friction at that point. We won't know what that is without more information.
The highest point is the point where the ball's velocity transitions from upward to downward. At that instant, the ball's speed, velocity, momentum, and kinetic energy are all exactly zero.
A simple example is a ball tossed into the air. When the ball reaches its apex -- its highest point -- its instantaneous velocity is zero. If we assume that up is the positive direction, the ball's velocity is positive when it is initially tossed into the air, but it slows immediately. That is, its velocity becomes less positive until it reaches zero velocity. After that point, the velocity becomes increasingly negative (because down is the negative direction). Until the ball returns to earth and reaches the height at which it was initially thrown, its average velocity is non-zero. If the ball is allowed to hit the ground, its average velocity will be slightly negative, which is still non-zero. But it still had an instant -- at its apex -- when its velocity was zero.
At the highest point of a ball's vertical motion, its velocity is zero. This is because the ball briefly comes to a stop before falling back down due to gravity.
If the average acceleration is zero, it means that the object's velocity is not changing over time. Since instantaneous acceleration is the acceleration at a specific moment in time, it can still have a non-zero value depending on the instantaneous velocity of the object at that moment.
Yes. An example of this would be a ball thrown straight up; at the very peak of its travel, it's not moving either up or down and therefore has an instantaneous velocity of zero.
Not necessarily. The graph of instantaneous velocity versus time may or may not have a Y-axis intercept of zero. It depends on the initial conditions and motion of the object. If the object starts from rest, then the initial velocity is zero, and the graph will have a Y-axis intercept at zero.
The instantaneous velocity is the limit of the average velocity, as the time interval tends to zero. If you are not familiar with limits, basically you make the time interval very small and calculate the average velocity.
Instantaneous velocity is the velocity of an object at a specific instant in time. It represents the object's speed and direction at that moment. It is calculated as the limit of the average velocity as the time interval approaches zero.
The instantaneous center of rotation is a point in a rigid body that has zero velocity at a specific moment in time. It is the point around which all parts of the rigid body have rotation at that moment. It helps to analyze the motion of the rigid body at that instant.
Acceleration at the point of zero vertical velocity will be equivalent to gravitational acceleration on that body. On Earth, for example, this is around 9.8 meters per second per second (9.8m/s2).