Position, Velocity, and Acceleration Learning Goal: To identify situations when
ID: 1659855 • Letter: P
Question
Position, Velocity, and Acceleration Learning Goal: To identify situations when position, velocity, and /or acceleration change, realizing that change can be in direction or magnitude. If an objects position is described by a function of time, t) (measured from a nonaccelerating reference frame), then the object's velocity is described by the time object's acceleration is described by the time derivative of the velocity, a(t) d27(t) It is often convenient to discuss the average of the latter derivative of the position,v(t) = ddt), and the dt dt2 two quantities between times t1 and t2: = r( ) (t1) V avg (t1 , t2) t-t and aavg(ti ,ta) = att)-i(t). t2-tiExplanation / Answer
(A) The position and as well as the velocity of the ball are time dependent, i.e they change with time. But the acceleration is constant as there is always a constant gravitational force that is acting on the ball.
(B) Acceleration is defined as rate of change of velocity. To obtain a non-zero acceleration, the driver can either increase the velocity of the car by pressing on the gas, or decrease the velocity by applying brakes( negative acceleration) or they can just change the direction of motion, and thus maintain a non-zero instantaneos velocity whose direction is changing at each instant of time.
(C) Since the distance of the hole is fixed from the center of the merry go round, hence the position of the ball is a function of time but it i not an ever increasing function, but a function with a periodicity, also since the instantaneo velocity i.e velocity at some instant t, is directed at different direction, hence the velocity too is a function of time. But since there is no change in the magnitude of velocity, there is no change in the magnitude of acceleration, and hence acceleration is constant.