Posted by Mathew on Thursday, February 2, 2012 at 12:55am.
A young woman named Kathy Kool buys a sports car that can accelerate at the rate of 4.77 m/s2. She decides to test the car by dragging with another speedster, Stan Speedy. Both start from rest, but experienced Stan leaves the starting line 1.04 s before Kathy. If Stan moves with a constant acceleration of 3.59 m/s2 and Kathy maintains an acceleration of 4.77 m/s2, find the time it takes Kathy to overtake Stan.
Calculate the distance she travels before she catches him.
Calculate the speed of Kathy's car at the instant she overtakes Stan.
Calculate the speed of Stan's car at the instant he is overtaken by Kathy.

Physics  Henry, Friday, February 3, 2012 at 7:43pm
a. d1 = d2,
0.5a*t^2 = 0.5a(0.5t1.04)^2,
0.5*3,59t^2 = 0.5*4.77(t1.04)^2,
1.795t^2 = 2.385(t1.04)^2,
0.7526t^2 = t^22.08t+1.082,
0.7526t^2 t^2+2.08t =1.082,
0,2474t^2 +2.08t  1.082 = 0,
Use Quadratic formula and get:
t = 7.85 s.
b. d = 0.5*a*t^2,
d = 0.5*4.77*(7.85)^2 = 147 m.
c. V = 4.77*7.85 = 37.44 m/s.
d. V = 3.59 * (7.85+1.04) = 3i.9 m/s.
Answer This Question
Related Questions
 Physics  A young woman named Kathy Kool buys a sports car that can accelerate ...
 Physics  A young woman named Kathy Kool buys a sports car that can accelerate ...
 Physics  A young woman named Kathy Kool buys a sports car that can accelerate ...
 physics  A young woman named Kathy Kool buys a sports car that can accelerate ...
 physics  Kathy Kool buys a sports car that can accelerate at the rate of 5.00 m...
 Physics  Both start from rest, but experienced Stan leaves the starting line 1....
 Grade 12 Physics  A young woman named Sassy Sue purchases a sports utility ...
 Physics (When will Kathy overtake Stan if )  Kathy has a sports car that can ...
 Math  Stan's Cans, Inc. expects to earn $150,000 next year after taxes on sales...
 sphy011  a speedster traveling at a constant speed of 120 km/h passes a waiting...
More Related Questions