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# v = u + at (memorize) s = (u + v) t 2 v 2 = u 2 + 2as s = ut + 1 / 2 at 2

v = u + at (memorize) s = (u + v) t 2 v 2 = u 2 + 2as s = ut + 1 / 2 at 2 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). Example #1. A car goes from 14 m/s to 26 m/s in 300. m.

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## v = u + at (memorize) s = (u + v) t 2 v 2 = u 2 + 2as s = ut + 1 / 2 at 2

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1. 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)

2. 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

3. 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

4. Whiteboards: suvat 1 | 2 | 3 | 4

5. 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

6. 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

7. 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

8. 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

9. 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

10. 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

11. 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

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