(a) A car departs from Location A to Location B from rest and accelerates uniformly to...
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(a) A car departs from Location A to Location B from rest and accelerates uniformly to a velocity of 70 km/hour in 1 minute. Then, the car decelerates uniformly to Location C and travelled 800 m from Location B to C. The velocity of the car when it arrives Location C is 45 km/hour. Then, the car moves to Location D with the same acceleration of that from Location A to B for 1.25 minutes. Finally, the car uses another 2.5 minutes to decelerate uniformly to Location E and then stops. A relevant velocity-time graph is shown in Figure Q.1(a) below. Velocity (km/hr) D EM Figure Q.1(a) - Velocity-Time Graph 70 45 A E Time (min) (i) Calculate the acceleration and deceleration (m/s) of the car when it departs from Location A to Location B, Location B to C, Location C to D and Location D to E; and (5 marks) (ii) the total distance (m) travelled from A to E. (5 marks) (b) A man stands on the roof of a building of 200 m height and drops a coin that reaches the ground while another man throws a ball upward from the ground with a velocity of 50 m/s at the same instant. (i) the time (s) and velocity (m/s) when the coin strikes the ground; (a) A car departs from Location A to Location B from rest and accelerates uniformly to a velocity of 70 km/hour in 1 minute. Then, the car decelerates uniformly to Location C and travelled 800 m from Location B to C. The velocity of the car when it arrives Location C is 45 km/hour. Then, the car moves to Location D with the same acceleration of that from Location A to B for 1.25 minutes. Finally, the car uses another 2.5 minutes to decelerate uniformly to Location E and then stops. A relevant velocity-time graph is shown in Figure Q.1(a) below. Velocity (km/hr) D EM Figure Q.1(a) - Velocity-Time Graph 70 45 A E Time (min) (i) Calculate the acceleration and deceleration (m/s) of the car when it departs from Location A to Location B, Location B to C, Location C to D and Location D to E; and (5 marks) (ii) the total distance (m) travelled from A to E. (5 marks) (b) A man stands on the roof of a building of 200 m height and drops a coin that reaches the ground while another man throws a ball upward from the ground with a velocity of 50 m/s at the same instant. (i) the time (s) and velocity (m/s) when the coin strikes the ground;
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A Lets calculate the acceleration and deceleration of the car in each segment as requested in part i i Calculate the acceleration and deceleration ms2 of the car when it departs from Location A to Loc... View the full answer
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