Time passes. Will you? 1st atomic clock when something occurs (an event) I. Time t is___________________________________ It is a _____________________________ scalar (no direction) events In physics, the time between two ___________ is time interval is called the ___________________________ . event 1 occurs at t = ti event 2 occurs at t = tf For example, if… initial ti = ____________ time = 5.0 s final tf = ____________ time = 8.5 s Then the time interval: tf – ti = Dt equals Dt = tf – ti = 8.5 s - 5.0 s = 3.5 s positive The time interval will always be ______________ . Dt In Regents Physics, instead of ________ , we use the symbol _____ for time intervals and often just t call it the ____________ . Remember that _____ time t how long a certain process lasts represents ____________________________________ . second, s The basic unit for time is the __________________ . minutes, hours, etc Other units, such as ___________________________ seconds must usually be converted into _________________ before solving any problems. How fast is Usain Bolt? What is the fastest speed possible? how fast an object moves II. speed v = _______________________________ time rate of change in distance =________________________________ a scalar (no dir., only mag.) =_________________________________ Ex: v = 55 mph mag. constant Speed v can be ______________ (not changing), or it can change. If it changes, the speed at any instantaneous instant is called the ____________________ speed. average The ______________speed, vavg = v is: Equation for v from PRT (Physics Reference Tables): Physics Reference Tables, last page: Further down, find: how fast an object moves speed v = ______________________ time rate of change in distance =____________________________________ a scalar (no dir., only mag.) =_____________________________________ Ex: v = 55 mph mag. constant Speed v can be ______________ (not changing), or it can change. If it changes, the speed at any instantaneous instant is called the ____________________ speed. average The ______________speed, vavg = v is: Equation for v from PRT (Physics Reference Tables): v = d/t Ex: Jenny runs 95 meters in 15 seconds. Find her average speed. Show all work. v = d/t = 95 m/15 s = 6.3 m/s derived ____________ units are made up of….. fundamental …the 4 _____________________ (basic) units: m, A, s, kg meter, Ampere, second, kilogram Ex. A car, initially moving at a speed of 25 m/s, increases its speed to 45 m/s in 3.0 seconds. What is its average speed during the 3.0 s? initial vi = ____________ speed = 25 m/s final vf = ____________ speed = 45 m/s v = (vi + vf) 2 This equation is NOT in your PRT. You must memorize it _____________________ . v = (25 m/s + 45 m/s) 2 = 35 m/s How far will the car in the last example travel in 12 seconds? Given: v t = 12 s v = 35 m/s 35 m/s = d/12 s 420 m Unknown: d = = d/t =d Word problem hints: 0 1/ If an object starts from rest: vi = 2/ If an object comes to rest: vf = 0 3/ If the speed of an object does NOT change, v = vi = vf = v Ex. Units for speed v: distance units of ______________ units of speed = time units of ______________ [v] = [d] / [t] Put a rectangle around units of distance, and an oval around units of speed: m cm/s km/h mi 1/s ft/s in m/s2 mph km in/y m/s cm h s km/h rate of change in displacement III. velocity v = time _________________________________ = displacement time a vector with the same = ________________________________ dir. as the displacement __________________________________ Ex: v = 55 mph, north dir. speed mag. of the velocity = the ____________ velocity = ___________ speed + ________________ direction arrow Draw velocity as an _________: 55 mph Does this show speed or velocity? units Note: Speed and velocity have same _________ equation and use the same_______________: average velocity: Ex: Godzilla moves 5.0 x 102 meters east in 2.0 seconds. Find his average velocity. If you assume that east is positive, you may write this velocity as: Physics Reference Tables, last page: Further down, find: units Note: Speed and velocity have same _________ equation and use the same_______________: average velocity: v = d/t Ex: Godzilla moves 5.0 x 102 meters east in 2.0 seconds. Find his average velocity. v = d/t = 5.0 x 102 m, east / 2.0 s = 250 m/s, east If you assume that east is positive, you may write this velocity as: v = + 250 m/s Ex: Mr. Siudy walks 1) 6.0 m east in 4.0 s, then runs 2) 2.0 m west in 0.50 s. Find his average speed in each part, and 3) the average speed over the entire time. 1) v = d/t = 6.0 m = 1.5 m/s 4.0 s 2) v = d/t = 2.0 m = 4.0 m/s 0.5 s = 8.0 m = 1.7m/s 4.5 s total d = the _____________ distance 3) v = d/t Why is the average speed over the entire time closer to the answer for part _____ ? 1) Now find the average velocities for each part of the previous example. displacement d = the __________________ here 1) v = d/t = 6.0 m, E = 1.5 m/s, E = + 1.5 m/s 4.0 s 2) v = d/t = 2.0 m, W = 4.0 m/s, W = - 4.0 m/s 0.5 s 3) v = d/t = 4.0 m, E = 0.89 m/s, E= + 0.89 m/s 4.5 s 6m resultant d = _______________ d: 2m 4m less Why is the answer to 3) now ________ than what it was on the last slide? IV. Uniform motion: velocity constant ________________ Uniform motion or…. speed constant ______________ 1 direction in______________________ Ex. A car leaks oil at a constant rate while moving to the right in uniform motion. Sketch the pattern of drops it leaves behind.