Free Fall and Inclined Plane Kinematic Equations of Constant Acceleration Kinematics on an Inclined Plane Examples Quiz Outline

The equations of motion Caution: These are correct only if a is constant!

Example 1: You drop a rock from rest from the edge of a cliff Example 1: You drop a rock from rest from the edge of a cliff. If the rock takes 4.0s to hit the ground below, how tall if the cliff ?

Example 2: You throw a rock with initial velocity of 10m/s up from the edge of a cliff. If the rock takes 5.0s to hit the ground below, a) how tall if the cliff ? b) how fast is the rock moving when it hits the ground?

Example 3: You drop a rock from rest from the edge of a cliff Example 3: You drop a rock from rest from the edge of a cliff. If the cliff is 45m tall, a) how long will the rock take to hit the ground under the cliff ? b) how fast will the rock be moving when it hits the ground ?

Block on an incline Right angle Accelerations: a|| = g sin θ Symbols for parallel and perpendicular

Example 4: A block on an incline of 30o is released from rest Example 4: A block on an incline of 30o is released from rest. a) How far will be block move in 2 seconds? b) What will the block’s speed be at 2 seconds ? c) What is the average velocity of the block during the 2 seconds?

Ex. Kinematics on an Inclined Plane Example 5: On a level road, the magnitude of a particular car’s maximum acceleration is 6 m/s2. That car drives up a hill that makes an angle of 30 to the horizontal. If it starts at the bottom of the hill at 10 m/s, how far will it travel in 10 seconds if it is accelerating as much as it can? 0.15 km 0.5 km 1.5 km 2.5 km

Do for next class: Read: Sections 3.3, 3.4 Suggested problems: 3.9, 3.13