NAME 1 Class The diagram below is a speed-time graph for the first k seconds of the motion of an object. Speed m/s 30 0 20 Time in seconds k (a) Find the acceleration when t = 10s. (b) Find the distance traveled in the first 20 seconds. (c) The distance traveled in the first k seconds is 720m. Find the value of k. Answer (a) (b) (c) 3 The diagram shows the speedtime graph for 70 seconds of a car’s journey. After 20 seconds the car reaches a speed of v m/s. during the 70 seconds the car travels 1375 m. (a) Calculate v. (b) Calculate the acceleration of the car during the first 20 seconds. (c) Calculate the distance travelled in the last 10 seconds. Answer (a) (b) (c) 3 The diagram above is the speed-time graph of a journey. (a) Calculate the (i) acceleration during the first 20 seconds, (ii) the value of k. (b) During the last part of the journey, the retardation is 3m/s2. Calculate the time taken while slowing down. Answer (a) (i) (ii) (b) 4 The diagram is the speedtime graph for the first k seconds of the motion of an object. (a) Find the acceleration when t = 10 seconds. speed (metres/second) (b) Find the distance travelled in the first 20 seconds. (c) The distance travelled in the first k seconds is 720 m. Find the value of k. Answer (a) (b) (c)