SOLUTION: The Thrust SSC is the world's fastest land vehicle. Suppose the driver of a car whose top speed is 200 miles per hour requests a race against the SSC. The car gets a head start of
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Question 270512: The Thrust SSC is the world's fastest land vehicle. Suppose the driver of a car whose top speed is 200 miles per hour requests a race against the SSC. The car gets a head start of a half hour. If there is unlimited space to race, at what distance will the SSC pass the car? Thrust SSC top speed is 763.
I know that in a half hour the car would go 100 miles and Thrust SSC can go 381.5. I know 100 is a certain percent, but I just do not know the equations I need. Thanks for your help. Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! The Thrust SSC is the world's fastest land vehicle.
Suppose the driver of a car whose top speed is 200 miles per hour requests a race against the SSC.
The car gets a head start of a half hour.
If there is unlimited space to race, at what distance will the SSC pass the car? Thrust SSC top speed is 763.
:
First find out how long it will take for SSC to catch the car
:
Let t = travel time of the SSC
then
(t+.5) = travel time of the car
:
When this occurs they will have traveled the same dist.
Write a distance equation; dist = speed * time
:
SSC dist - car dist
763t = 200(t+.5)
763t = 200t + 100
763t - 200t = 100
563t = 100
t =
t = .17762 hrs
:
How far can the SSC travel in .17762 hrs
.17762 * 763 = 135.5 mi
:
If we did this right, the car should have traveled the same dist
200(.17762 + .5) = 135.5 mi also
