Review av Are you going up or down? Are you speeding up or slowing down? What will your velocity be in 1 second?

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Presentation transcript:

Review av Are you going up or down? Are you speeding up or slowing down? What will your velocity be in 1 second?

Review a v Are you going up or down? Are you speeding up or slowing down? What will your velocity be in 1 second? t=0

Review a v Are you going up or down? Are you speeding up or slowing down? What will your velocity be in 1 second? t=1

Review a v Are you going up or down? Are you speeding up or slowing down? What will your velocity be in 1 second? t=2

Review a v Are you going up or down? Are you speeding up or slowing down? What will your velocity be in 1 second? t=3

Review a v Are you going up or down? Are you speeding up or slowing down? What will your velocity be in 1 second? t=4

Review a v Are you going up or down? Are you speeding up or slowing down? What will your velocity be in 1 second? t=5

Review a v Are you going up or down? Are you speeding up or slowing down? What will your velocity be in 1 second? t=6

Bungee Jumping

Motion 1

Motion 2

Motion 3 slowing

Motion 4 bottom

Motion 5 speeding up

Motion 6 Still rising

Motion 7 top

Velocity Acceleration bottom

Problem A car has initial velocity +30 miles/hour. It accelerates at +2 miles/hour/s for 10 seconds. What is its final velocity?

Equation #1: v f = v i + a  t

Problem: A child slides down a constant slope on a toboggan. When the child passes her older brother, he estimates her speed at 2 m/s. When she passes her younger brother 10 seconds later, he estimates her speed at 10 m/s. Estimate how far apart her brothers are standing.

Equation #2: v f = v i + a  t  d = 1/2 (v i + v f )  t Short Cuts!!

Problem: A boat is cruising at 3 m/s. At time t=0, the boat begins accelerating with a=1.6 m/s/s. How far will the boat have traveled 10 seconds later?

Which equation to use? v f = v i + a  t  d = 1/2 (v i + v f )  t Both !!

Problem: First: what is the boat’s velocity after 10 s? What is the boat’s average velocity? How far did the boat travel? A boat is cruising at 3 m/s. At time t=0, the boat begins accelerating with a=1.6 m/s/s. How far will the boat have traveled 10 seconds later?

Now: v f = v i + a  t  d = 1/2 (v i + v f )  t  d = v i  t + 1/2 a  t 2

Problem: What do we know? What don’t we know? What don’t we care about? A boat is cruising at 3 m/s. At time t=0, the boat begins accelerating with a=1.6 m/s/s. How far will the boat have traveled 10 seconds later?

Problem: A plane is cruising at 50 m/s. The plane suddenly begins accelerating with a=4m/s/s until it reaches 90 m/s. How far does it travel in this time? What do we know? What don’t we know? What don’t we care about?

OR: How long does it take for the plane to reach 90 m/s? What is the average velocity? What distance is covered? A plane is cruising at 50 m/s. The plane suddenly begins accelerating with a=4m/s/s until it reaches 90 m/s. How far does it travel in this time?

Problem: A skier, starting from rest, accelerates down a slope at 1.6 m/s/s. How far has she gone at the end of 5.0 seconds?