dagg3r said:3. A tennis ball is served horizontally from 2.4 m above the ground at 30m/sec
a) Find its velocity (V) at any time t seconds
b) Find its position vector (r) at any time t second
a) v= 30i - gtj
b) i integrated and got position vector as
p= 30ti(2.4-.5gt^2)j
is that it?
An integrated position vector is a mathematical representation of an object's position in a specific coordinate system. It takes into account the object's position, velocity, and acceleration over time.
An integrated position vector is calculated by integrating the object's velocity vector over time. This means that the object's position at any given time is equal to the position at the previous time plus the product of its velocity and the change in time.
An integrated position vector is useful because it allows scientists to accurately track the position of an object over time. This information can be used to analyze an object's motion and make predictions about its future movement.
A non-integrated position vector only represents an object's position at a specific moment in time, whereas an integrated position vector takes into account the object's position, velocity, and acceleration over time.
Yes, an integrated position vector can be used for objects with changing velocities. It takes into account the object's velocity at each point in time, allowing for a more accurate representation of its position.