Two stunt drivers drive directly toward each other. At time t=0 the two cars are a distance D apart, car 1 is at rest, and car 2 is moving to the left with speed Vo. Car 1 begins to move at t=0, speeding up with a constant acceleration Ax. Car 2 continues to move with a constant velocity.
Find the speed of car 1 just before it collides with car 2.
D = the distance between them at t = 0.
V2 = the constant velocity of car 2.
A = the constant acceleration of car 2.
x = the time of travel of car 2 to impact with catr 1.
t = the time of travel to impact.
1--t = x/V2 or x = tV2
2--D - x = At^2/2
3--D - x + x = D = At^2/2 + tV2
4--At^2/2 + tV2 - D = 0
5--At^2 + 2tV2 - 2D = 0
6--Using the quadratic equation,
---t = [sqrt(V2^2 + 2DA)- V2]/a
7--From Vf = Vo + At, the final velocity of car 1 at impact is
---Vf1 = sqrt(V2^2 + 2DA) - V2
D = 1000 miles
V2 = 100 miles/hr
A = 10 miles/hr^2
After a few guesses, x = 732 miles from which t = 7.32 hr, from which (D - x) = 268 miles which should equal AT^2/2 = 10(7.32)^2/2 = 268 miles and Vf = At = 73.2 mph.
Using Vf1 = sqrt(V2^2) + 2DA0) - V2,
Vf1 = sqrt((100^2) 2(1000)10 - 100 = 73.2mph.
Therefore, Vf1 = sqrt(V2^2 + 2DA) - V2
physics - If two cars are moving head on toward each other at 88 km/h(55mi/h, ...
statistics - twenty percent of drivers drining between 11pm and 3am are drunken ...
physics - Two trains are heading toward each other on the same track with ...
physics - Two bicyclists, starting at the same place, are riding toward the same...
Physics - A movie stunt man (mass 82.3 kg) stands on a window ledge 5.69 m above...
math - It was once said that Country-Western songs emphasize three basic themes...
physics - Two protons are moving directly toward one another. When they are very...
Computer - What is the standard configuration for a newly purchased hard drive? ...
Algebra - It is 74.4 miles from Dwane and Patti's house to Martha's house. Patti...
physics - The security alarm on a parked car goes off and produces a frequency ...