You are on the jury in a murder trial. Almost all the evidence points to the same defendant, but they have a seemingly airtight alibi: Exactly one hour before the murder, the accused drove a car through a radar checkpoint. Mr. Police Officer said that there was excellent visibility at the spot, so he had stood 6 meters from the road and measured the speed of the car when it was only 10 meters away from where he was standing. The radar2 showed 60 km/h, which was also the speed limit at the location, so the car was allowed to continue. Thorough technical investigations show that the car continued at the same constant speed for the next hour. The murder occurred 70km away from the checkpoint, so it appears that the accused could not have arrived in time to commit the murder. Show using related rates that the actual speed of the car in the radar check was over 70 km/h and that the defendant therefore had time to commit the murder.
You are on the jury in a murder trial. Almost all the evidence points to the same defendant, but they have a seemingly airtight alibi: Exactly one hour before the murder, the accused drove a car through a radar checkpoint. Mr. Police Officer said that there was excellent visibility at the spot, so he had stood 6 meters from the road and measured the speed of the car when it was only 10 meters away from where he was standing. The radar2 showed 60 km/h, which was also the speed limit at the location, so the car was allowed to continue. Thorough technical investigations show that the car continued at the same constant speed for the next hour. The murder occurred 70km away from the checkpoint, so it appears that the accused could not have arrived in time to commit the murder.
Show using related rates that the actual speed of the car in the radar check was over 70 km/h and that the defendant therefore had time to commit the murder.
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