Two cars are on the same straight road, the first one s m ahead of the second and travelling in the same direction. The first car is moving at an initial speed v m/s away from the second car. The second car is moving at initial speed u m/s, where u>v. Both cars accelerate at a m/s^2. a) show that the second car overtakes at time t=s/(u-v) irrespective of the deceleration, provided the cars do not come to rest before second one passes. b) show also that the distance from the starting point of the second car to the point where it overtakes depends on a and find a formula for that distance.
Two cars are on the same straight road, the first one s m ahead of the second and travelling in the same direction. The first car is moving at an initial speed v m/s away from the second car. The second car is moving at initial speed u m/s, where u>v. Both cars accelerate at a m/s^2. a) show that the second car overtakes at time t=s/(u-v) irrespective of the deceleration, provided the cars do not come to rest before second one passes. b) show also that the distance from the starting point of the second car to the point where it overtakes depends on a and find a formula for that distance.
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Two cars are on the same straight road, the first one s m ahead of the second and travelling in the same direction. The first car is moving at an initial speed v m/s away from the second car. The second car is moving at initial speed u m/s, where u>v. Both cars accelerate at a m/s^2.
a) show that the second car overtakes at time t=s/(u-v) irrespective of the deceleration, provided the cars do not come to rest before second one passes.
b) show also that the distance from the starting point of the second car to the point where it overtakes depends on a and find a formula for that distance.
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