Equations and Practice Problems By: Taide Baeza and Michael Campos Chapter 1 Significant Figures Conversions Scientific Method Prefixes Prefixes Power Prefix Abreviation 10-18 Atto- a 10-15 Femto- f 10-12 Pico- p 10-9 Nano- n 10-6 Micro- 10-3 Milli- m 10-2 Centi- c 10-1 Deci- d 101 Deka- da 103 Kilo- k 106 Mega- M 109 Giga- G 1012 Tera- T 1015 Peta- P 1018 Exa- E Chapter 2 Displacement Average Velocity Average Acceleration Displacement with Constant Acceleration Velocity with Constant Acceleration Final Velocity After Any Displacement Displacement Sample Problem During a race on level ground, Andrea runs with an average velocity of 6.02 m/s to the east. What is Andrea’s displacement after 137s ? Given: vavg = 6.02 m/s ∆T= 137s Unknown: ∆x = ? ∆x = vavg∆T = (6.02 m/s)(137s)= 825m to the east Average Velocity Practice Problem A bus travels 280km south along a straight path with an average velocity of 88 km/h to the south. The bus stops for 24 min. Then, it travels 210 km south with an average velocity of 75 km/h to the south. What is the average velocity for the total trip? Average Acceleration Sample Problem A shuttle bus slows down with an average acceleration of -1.8 m/s2. How long does it take the bus to slow from 9.0 m/s to a complete stop? Displacement With Constant A racing carAcceleration reaches a speed of 42 m/s. It then begins a uniform negative acceleration, using its parachute and braking system, and comes to rest 5.5s later. Find the distance that the car travels during braking. Velocity and Displacement with Constant Acceleration A plane starting at rest at one end of a runway undergoes a uniform acceleration of 4.8 m/s2 for 15s before takeoff. What is its speed at takeoff? How long must the runway be for the plane to be able to take off? Final Velocity After Any Displacement Chapter 3 Pythagorean Theorem C2=A2+B2 Soh Cah Toa Projectile That Falls from Rest Projectiles Launched at an Angle Finding Magnitude and Direction Resolving Vectors Adding Vectors Algebraically Projectiles launched at an Angle Relative Motion Chapter 4 Units of force Chapter 5 Chapter 6 Chapter 7