To the right is a graph of an object’s motion. Which is the best interpretation?

Question

To the right is a graph of an object’s motion. Which is the best interpretation? 1. To the right is a graph of an object's motion. Which is the best interpretation? a) The object is moving with a constant, non-zero acceleration b) The object does not move. c) The object is moving with a uniformly increasing velocity d) The object is moving at a constant velocity. e) The object is moving with a uniformly increasing acceleration. 0 time 2. The velocity at time t = 2 s is: a) 0.4 m/s b) 2.0 m/s c) 2.5 m/s d) 5.0 m/s e) 10.0 m/s 15 10 time (s) 3. In your own words, describe how a photogate works (see Appendix A or PASCO guide on Blackboard). 4. A cart with a 5 cm-long flag on it passes through a photogate. If the cart is moving ata constant velocity of 10 m/s, how long does it take for the flag to pass through the photogate? (explain your reasoning)

Explanation / Answer

1)

slope of the graph = dy/dx gives velocity

here the graph is a straight line

the velocity is constant

OPTION (d)

(2)

velocity v= dy/dx

velocity v = (5-0)/(2-0) = 5/2 = 2.5 m/s

OPTION (c)

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4)

velocity = distance covered/time

time = distance/velocity

distance = 5 cm = 0.05 m

time = 0.05/10 = 0.005 s <<<-------ANSWER

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