u - initial velocity (m/s) v - final velocity (m/s)

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Presentation transcript:

u - initial velocity (m/s) v - final velocity (m/s) v = u + at (memorize) s = (u + v)t 2 v2 = u2 + 2as s = ut + 1/2at2 when to use which one… s - displacement (m) u - initial velocity (m/s) v - final velocity (m/s) a - acceleration (m/s/s) t - time (s)

v = u + at (memorize) s = (u + v)t 2 v2 = u2 + 2as s = ut + 1/2at2 Example #1 A car goes from 14 m/s to 26 m/s in 300. m. What is the acceleration, and What time does it take? v = u + at (memorize) s = (u + v)t 2 v2 = u2 + 2as s = ut + 1/2at2 .80 m/s/s, 15 s

v = u + at (memorize) s = (u + v)t 2 v2 = u2 + 2as s = ut + 1/2at2 Example #2 A rocket going 3130 m/s accelerates at 0.00135 m/s/s for a distance of 5.50 x 109 m. What time does it take, and What is the final velocity? v = u + at (memorize) s = (u + v)t 2 v2 = u2 + 2as s = ut + 1/2at2 1.36E6 s, 4960 m/s

Whiteboards: suvat 1 | 2 | 3 | 4

A cart stops in a distance of 3. 81 m in a time of 4. 51 s A cart stops in a distance of 3.81 m in a time of 4.51 s. What was its initial velocity? s = 3.81 m, u = ??, v = 0, t = 4.51 s s = (u + v)t 2 u =1.68958 m/s, 1.69 m/s 1.69 m/s

A car going 12 m/s accelerates at 1. 2 m/s/s for 5. 0 seconds A car going 12 m/s accelerates at 1.2 m/s/s for 5.0 seconds. What is its displacement during this time? s = ?, u = 12 m/s, v = ??, a = 1.2 m/s/s, t = 5.0 s s = ut + 1/2at2 s =75 m, 75 m 75 m

Another car with a velocity of 27 m/s stops in a distance of 36. 74 m Another car with a velocity of 27 m/s stops in a distance of 36.74 m. What was its acceleration? s = 36.74 m, u = 27 m/s, v = 0, a = ??, t = ?? v2 = u2 + 2as a =-9.9211 m/s/s, -9.9 m/s/s -9.9 m/s/s

A car’s brakes slow it at 9. 5 m/s/s. If it stops in 47 A car’s brakes slow it at 9.5 m/s/s. If it stops in 47.3 m, how fast was it going to start with? s = 47.3 m, u = ??, v = 0, a = -9.5 m/s/s, t = ?? v2 = u2 + 2as u =29.9783255 m/s, 30. m/s 30. m/s

What time will it take a car going 23 m/s to start with, and accelerating at 3.5 m/s/s, to go 450 m? s = 450 m, u = 23 m/s, v = ??, a = 3.5 m/s/s, t = ?? s = ut + 1/2at2 (Oh Nooooooo!) OR - use v2 = u2 + 2as - find v, and use v = u + at t =10.7585 s, 11 s 11 s

What distance does a train go if it slows from 32. 0 m/s to 5 What distance does a train go if it slows from 32.0 m/s to 5.0 m/s in 135 seconds? s = ?, u = 32.0 m/s, v = 5.0 m/s, t = 135 s s = (u + v)t 2 s =2497.5 m, 2.50x103 m 2.50x103 m

A ship slows from 18 m/s to 12 m/s over a distance of 312 m A ship slows from 18 m/s to 12 m/s over a distance of 312 m. What time did it take? s = 312 m, u = 18 m/s, v = 12 m/s, t = ?? s = (u + v)t 2 t =20.8 s, 21 s 21 s