iGCSE Mathematics (0580) :E2.9 Use function notation.iGCSE Style Questions Paper 2

Question

The diagram shows the speed-time graph of the first 15 seconds of a car journey.

(a) Find the acceleration of the car during the first 5 seconds.

(b) Find the distance travelled during the 15 seconds.

▶️ Answer/Explanation

Solution

Ans: (a) 2.8 m/s² (b) 175 m

(a) Acceleration = gradient = 14 m/s ÷ 5 s = 2.8 m/s²

(b) Distance = area under graph = triangle (½×5×14) + rectangle (10×14) = 35 + 140 = 175 m

Question

The diagram shows the speed-time graph for 24 seconds of a car journey.

(a) Calculate the deceleration of the car in the final 8 seconds.

(b) Calculate the total distance travelled during the 24 seconds.

▶️ Answer/Explanation

Solution

Ans:

(a) 1.5 m/s² (Deceleration = (12-0)/8 = 1.5 m/s²)

(b) 240 m (Area under graph: (16×12) + ½(8×12) = 192 + 48 = 240 m)

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