Question

as represented by this velocity - time graph, this object is____.a. at rest for several seconds and then moves up a hillb. moving with a constant speed and then acceleratesc. at rest for several seconds, and then speeds upd. at rest for several seconds and then moves forward at constant speede.... nonsense! none of these appropriately describe the objects motion.

Explanation:

• In a velocity - time graph, when the velocity is \(v = 0\) (horizontal line at \(y = 0\)), the object is at rest.
• When the graph is a straight line with a positive slope (\(\frac{\Delta v}{\Delta t}>0\)), the object is accelerating (\(a=\frac{\Delta v}{\Delta t}\)).

Answer:

c. at rest for several seconds, and then speeds up