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Motion Murder Mystery A murder has taken place on the ‘Mechanics Express’, a luxury train travelling through the heart of Europe. The train makes few stops and the suspects have been narrowed down to a group of six people. Your job is to identify who the murderer was, who the victim was, when exactly the murder took place, and finally, why? Who? The following 6 people have each made 3 statements about the journey. The murderer has made 3 errors, the victim made 0 errors. The other suspects made 1 or 2 errors Bert says when the train was travelling with acceleration of 0.5ms-2: If the speed was 34ms-1 and 20 seconds later it will be 44ms-1 If the speed was 90ms-1 then 1.9km later was 100ms-1. After 2minutes speed increased by 10ms-1. Ellen says with an initial velocity of 40ms-1: if the train accelerated at 10ms-2 then 2 seconds later it would be going 60ms-1. if the train accelerated at 5ms-2 then after 200 metres it is travelling at 60 ms-1. if the train accelerated at 15ms-2 then 2 seconds later it would be going 70ms-1 Katie says when the train was travelling at 20ms-1: it reaches a town 1km away after 8minutes 20seconds. if the train accelerated at 8 ms-2 until it reaches 22ms-1 it will have been accelerating for 0.25 seconds. it will take 600m at 10ms-2 to reach 40 ms-1. Sam says in 100seconds: The train can accelerate from 15ms-1 to 19ms-1 at the rate of 0.04ms-2. The train could travel 2.5km at 2.5ms-1. The train will travel 11km while accelerating from 10 ms-1 at a rate of 2 ms-2. Josh says the in 3 minutes The train accelerates from 20ms-1 to 50ms-1 at a rate of 10 ms-2. The train travels 360m at a constant speed of 20 ms-1. The train can accelerate from 10 ms-1 to 15 ms-1 over a distance of 4500m. Ben says from rest: It will take 2 minutes to reach 24ms-1 at an acceleration of 0.2ms-2. It takes 1km to reach 50ms-1 at an acceleration of 1.25ms-2. It takes 90 seconds to go 3km at acceleration of 4ms-2. When? The train left the station at 1pm and accelerated uniformly at 0.5ms-2 until it reached its maximum speed of 60ms-1. It stayed at this constant speed for 50 minutes. The train then entered a built up area and decelerated uniformly to 40ms-1 over a period of 88seconds where the train maintained a constant velocity. The murder took place after the train had travelled 450km from the station. At what time was this? Why? a 3600m/h b 10m/h c 1.5km/h d 9m/min e 60km/h f 0.9m/s g 50m/min h 15km/min i 30m/s j 2.5km/s k 20m/s l 4m/s m 75m/s n 9m/s o 21km/h p 2km/s q 11km/h r 0.001m/s s 300m/s t 120m/min u 5km/h v 1000m/s w 3km/h x 4.5m/s y 9km/h Put the correct letter in the box below each speed 1.8km/min 0.12km/min 50m/min 60m/min 0.3km/s 3.6km/h 0.54km/min 108km/h 270km/h 120km/min 5000m/h 240m/min 1080km/h 1km/min 0.001km/s 7.2km/h 2m/s 1m/s 25m/min 72km/h Murderer _________________________ Victim ____________________________ Time _____________________________ Motive ____________________________