Directions: Construct a quantitative (include numbers) position vs time graph, a velocity vs time graph, and an acceleration vs time graph for the following scenarios. While cruising along a dark stretch of highway at a speed of 25 m/s, you see that a bridge ahead has been washed out. You apply the brakes and uniformly slow down to a stop in 5.0 seconds.

The velocity values are __negative_. (Positive/Negative)

The acceleration value is ___negative_. (Positive/Negative)

Therefore the object must be ___speeding up_. (Speeding Up/Slowing Down)

2. A poorly tuned Yugo can accelerate from rest to a speed of 28 m/s in 20 s.

The velocity values are __positive_. (Positive/Negative)

The acceleration value is _positive_. (Positive/Negative)

Therefore the object must be __slowing down_. (Speeding Up/Slowing Down)

A bear is sitting at rest at t=0s. At t=5s, the bear notices honey 16 m away and takes off from rest accelerating at a rate of 2 m/s2 for 4 seconds to reach the honey.

In Part 2 of the Motion:

The velocity values are __positive_. (Positive/Negative)

The acceleration value is _positive_. (Positive/Negative)

Therefore the object must be __slowing down_. (Speeding Up/Slowing Down)

A dog runs down his driveway with an initial velocity of -5 m/s for 8 seconds, then uniformly increases his speed to -10 m/s in 5 seconds.

In Part 2 of the Motion:

The velocity values are ___negative_. (Positive/Negative)

The acceleration value is _negative_. (Positive/Negative)

Therefore the object must be _speeding up_. (Speeding Up/Slowing Down)

You are driving on the highway at a rate of 40 m/s for 10 seconds when you notice a cop in front of you. Over the next 5 seconds you uniformly slow down to 35 m/s to avoid getting a speeding ticket.

In Part 2 of the Motion:

The velocity values are _positive_. (Positive/Negative)

The acceleration value is __positive_. (Positive/Negative)

Therefore the object must be __slowing down_. (Speeding Up/Slowing Down)

You are traveling 20 m/s when the stoplight in front of you turns red. You step on your break to uniformly slow down to a rest in 5 seconds. You are stopped at the red light for 3 seconds when the light turns green. You speed back up to 20 m/s over the next 5 seconds.

In Part 1 of the Motion:
The velocity values are __negtive _. (Positive/Negative)

The acceleration value is __negaive_. (Positive/Negative)

Therefore the object must be __speeding up_. (Speeding Up/Slowing Down)

In Part 3 of the Motion:
The velocity values are _. (Positive/Negative)

The acceleration value is _. (Positive/Negative)

Therefore the object must be _. (Speeding Up/Slowing Down)

GRAPH ALL THE PROBLEMS