An "instant center" (IC) is a point that instantaneously has the same velocity in two bodies.
A child drops a ball from a window. The ball strikes the ground in 3.0 seconds. What is the velocity of the ball the instant before it hits the ground?
Absolutely. That's exactly the situation of a rubber ball that was tossed straight up, at the instant when it's at the top of its arc. Any object that's not connected to anything else and is rising or falling has constant acceleration ... the acceleration of gravity. If it was originally launched upward, then it eventually runs out of steam, stops, reverses direction, and starts moving down. At that instant during its constant acceleration, its velocity is zero.
# A car is traveling at a constant velocity with magnitude . At the instant that the car passes a motor cycle officer, the motor cycle accelerates from rest with acceleration . # ## Sketch an graph of the motion of both objects. Show that when the motor cycle overtakes the car, the motorcycle has a speed twice that of the car, no matter what the value of . ## Let be the distance the motorcycle travels before catching up with the car. In terms of , how far has the motorcycle traveled when its velocity equals the velocity of the car?
Instantaneous velocity mean change of displacement in extremely small amount time. (in math way, taking[ lim t--->0 (change in displacements/change in time) ]. instantaneous speed is the same expect displacement change to distance. So,because of very very small change in time, magnitude of distance and displacement will be same for any direction the object is moving.
Yes, it is possible for a body with zero velocity to have non-zero acceleration. Acceleration is the rate of change of velocity, so a body can have an acceleration if its velocity is changing, even if it starts from rest.
The acceleration at instantaneous maximum velocity is zero, as the velocity is not changing at that moment.
-- We can't say anything about the velocity, because we don't know anything about the horizontal motion of the ball. With the information included in the question, we can only be sure of how the vertical component of velocity behaves. -- At the maximum altitude of the ball, there's the instant where its vertical speed changes from upward to downward. At that instant, its vertical speed is zero.
It is the speed or velocity at a particular instant.
The car's average velocity for one complete lap is zero, because the distance betweenits starting and ending points is zero. But at each instant, its velocity is given by its speedand the direction it's moving at that time.
If an object's acceleration is zero at a specific instant in time, its velocity can either be zero or a constant non-zero value at that instant. This means that the object could be either at rest or moving with a constant velocity at that particular moment.
The instantaneous velocity of a body is always in the direction of the resultant force acting on it at that instant. It is influenced by the net force and not necessarily by the least resistance or the current motion of the body.
At the highest point, the velocity of the object is momentarily zero. This is because the object has come to a stop before changing direction from upwards to downwards.
A rock has the same constant acceleration from the moment it leaves your hand until the moment it hits the ground. It doesn't matter whether you dropped it or threw it, or in what direction it left you. The acceleration is 9.8 meters (32.2 feet) per second2 directed downwards. That's the acceleration of gravity on earth. As you asked, let's say you tossed it straight upwards. A tiny instant before it reaches the exact top, it has a small upward speed. A tiny instant after it passes the exact top, it has a small downward speed. During that tiny space of time, its upward speed decreases and its downward speed increases. That's a downward acceleration in anybody's book.
If the velocity equals zero, the acceleration is also zero because the velocity hasn't changed, thus, the particle isn't accelerating anywhere. This is not exactly true; at an instant in time the acceleration can be non-zero while the velocity is zero. However, this would change the velocity to non-zero after any amount of time. An example of this is when you throw a ball into the air: at it's highest point, the velocity is zero (it changes from going upward to going downward, passing through zero for an instant). However the acceleration is downward the entire time.
Yes, the velocity of an object at an instant of time can be greater than the average velocity over a time interval containing the instant, especially if the object is changing velocity rapidly. Similarly, it can also be less than the average velocity, especially if the object is reversing direction or slowing down during that time interval.
Acceleration is the rate of change of velocity.