DepthTime Graphs Worksheet B The worksheet is in

Depth-Time Graphs – Worksheet B The worksheet is in 2 sizes.

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Estimating the Rate of Depth Change Using the Gradient of a Tangent 40 80 ① 40 ② 20 10 0 30 Depth (m) 60 Depth (cm) 30 ③ 40 20 0 1 2 3 4 5 Time (seconds) 0 6 At 2 seconds the rate of depth change = _____ cm per second 1 2 3 4 5 Time (seconds) 5 0 20 40 60 Time (minutes) 0 6 80 At 40 minutes the rate of depth change = ___________ 100 0 5 10 15 20 25 Time (minutes) 10 5 0 9 pm 10 pm 30 When T = 20 the rate of depth change = ___________ 15 Depth (m) 0 ⑤ 10 0 10 After 1 second the rate of depth change = ___________ 15 ④ 20 11 pm 12 am Time 1 am At 23: 30 the rate of depth change = ___________ 2 am

Estimating the Rate of Depth Change Using the Gradient of a Tangent 40 80 ① ② 26 10 30 Depth (m) 20 0 ③ 60 Depth (cm) 30 40 52 20 4. 6 0 1 2 3 4 5 Time (seconds) 0 6 At 2 seconds the rate of depth change = _____ cm per second 1 2 3 4 5 Time (seconds) 5 0 20 40 60 Time (minutes) 0 6 80 At 40 minutes the rate of depth change = ___________ 100 0 5 10 15 20 25 Time (minutes) ≈ 1. 3 m/min 10 5 0 9 pm 10 pm 30 When T = 20 the rate of depth change = ___________ 15 Depth (m) 0 ⑤ 10 0 4 ≈ 13 cm/s 15 ④ 33 20 10 After 1 second the rate of depth change = ___________ ≈ 5. 7 25 40 11 pm 12 am Time 1 am At 23: 30 the rate of depth change = ___________ 2 am

Estimating the Rate of Depth Change Using the Gradient of a Tangent 40 80 ① ② 26 10 30 Depth (m) 20 0 ③ 60 Depth (cm) 30 40 52 20 4. 6 0 1 2 3 4 5 Time (seconds) 0 6 At 2 seconds the rate of depth change = _____ cm per second 1 2 3 4 5 Time (seconds) 5 8. 5 0 20 76 40 60 Time (minutes) 0 6 80 100 At 40 minutes the rate of depth = ≈ 0. 1 change m/min ___________ 0 5 10 15 20 25 Time (minutes) 30 When T = 20 the rate of depth change = ___________ ≈ 1. 3 m/min 15 Depth (m) 0 ⑤ 10 0 4 ≈ 13 cm/s 15 ④ 33 20 10 After 1 second the rate of depth change = ___________ ≈ 5. 7 25 40 10 9 5 0 9 pm 1. 5 10 pm 11 pm 12 am Time 1 am At 23: 30 the rate of depth change = ___________ 2 am ≈ 6 m/hour

Estimating the Rate of Depth Change Using the Gradient of a Tangent 40 80 ① 40 ② 20 10 0 30 Depth (m) 60 Depth (cm) 30 ③ 40 20 0 1 2 3 4 5 Time (seconds) 0 6 At 2 seconds the rate of depth change = _____ cm per second 1 2 3 4 5 Time (seconds) 5 0 20 40 60 Time (minutes) 0 6 80 At 40 minutes the rate of depth change = ___________ 100 0 5 10 15 20 25 Time (minutes) 10 5 0 9 pm 10 pm 30 When T = 20 the rate of depth change = ___________ 15 Depth (m) 0 ⑤ 10 0 10 After 1 second the rate of depth change = ___________ 15 ④ 20 11 pm 12 am Time 1 am At 23: 30 the rate of depth change = ___________ 2 am

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