SOLUTION: VEHICULE #1: - point A to point B = 2.1kms - speed = 174 kms/hour - time taken = 43 secs What would the acceleration, speed & time be in order for vehicle #2 to start from po

Question 723952: VEHICULE #1:
- point A to point B = 2.1kms
- speed = 174 kms/hour
- time taken = 43 secs
What would the acceleration, speed & time be in order for vehicle #2 to start from point A at 0 km/h to catch up to vehicule #1 at point B which mentionned above is 2.1kms?
thank you,
B
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
km/hr
The way I understand the problem, vehicle #1 is moving at 174 km/hr passing by point A on its way to point B, and as it passes point A, vehicle #2, which was standing still, accelerates to catch up at point B.
Both vehicles cover the same distance in the same time, and have the same average speed, but vehicle #1 does it at constant speed, while vehicle #2 does it at constant acceleration.
The speed of each vehicle graphed against time (speed=y, time-x) looks like this:

The blue line represents the speed of vehicle #1
The red line represents the speed of vehicle #2.
The area under each curve (in units of time times speed) represents the distance covered.
With the same base (same time), the triangle needs twice the height to have the same area.
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