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The diagram below is a graph of position versus time for the motion of an object

ID: 1410178 • Letter: T

Question

The diagram below is a graph of position versus time for the motion of an object. a) Answer the following questions for the two time intervals below. In each case, briefly explain how you arrived at your answer. i.) From A to B: is the object moving in the positive or negative direction? is the object speeding up or slowing down? is the acceleration of the object positive or negative? ii.) From D to E: is the object moving in the positive or negative direction? is the object speeding up or slowing down? is the acceleration of the object positive or negative? b) Find the instantaneous velocity (magnitude and direction) at the following times. i) t = 2.0 ii) t = 4.0 s c) Find the average velocity between the intervals below and explain how you found cach one. i) Between t = 2.0 s and t = 4.5 sii) Between t= 2.0 s and t = 6.0s

Explanation / Answer

(a) ans

(1) frm A to B

from Dto E

(b) ans

the intantaneous velocity =ds/dt

the instantaneous velocity at time 2s=>v=15-5/2.5-2=

=20 m/s

the diection is negative

the instantaneous velocity at time 4s=>V=5/4=1.25 m/s

the direction is positive

(C) ans

(1) the averaage velocity =v2-v1/t2-t1

=5-5/4.5-2=0

the average velocity is zero

(2) the average velocity =15-5/6-2

=10/4=2.5 m/s