Physics
posted by Connor .
A young woman named Kathy Kool buys a sports car that can accelerate at the rate of 4.53 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 1.01 s before Kathy. If Stan moves with a constant acceleration of 3.62 m/s2 and Kathy maintains an acceleration of 4.53 m/s2,
(A)Find the time it takes Kathy to overtake Stan.
(B) Calculate the distance she travels before she catches him.
(C) Calculate the speed of Kathy's car at the instant she overtakes Stan.
(D) Calculate the speed of Stan's car at the instant he is overtaken by Kathy.

Physics 
Henry
d1 = 0.5a*t^2 = 1.81*1.01^2 = 1.85 m. Head start.
V1 = a*t = 3.62*1.01 = 3.66 m/s.
d2 = 0.5a*t^2 = 1.85 + V1*t + 0.5a*t^2
2.27t^2 = 1.85 + 3.66*t + 1.81t^2
2.27t^21.81t^2 3.66t  1.85 = 0
0.46t^2  366t  1.85 = 0
t = 8.43 s. To catch up. 
Physics 
Henry
B. d = 0.5a*t^2 = 2.27*8.43^2 = 161.3 m.
C. V = a*t = 4.53*8.43 = 38.2 m/s.
D. 3.62*8.43 = 30.5 m/s.
Respond to this Question
Similar Questions

Grade 12 Physics
A young woman named Sassy Sue purchases a sports utility vehicle that can accelerate at the rate of 4.88m/s^2. She decides to test the car by dragging with another speedster, McSpeedy. Both start from rest, but experienced McSpeedy … 
Physics (When will Kathy overtake Stan if )
Kathy has a sports car that can accelerate at the rate of 4.90m/s^2. She races with Stan. Both cars start from rest but experienced Stan leaves starting line 1.00s before her. Stan moves with a constant aceleration of 3.90m/s^2 and … 
Physics
Both start from rest, but experienced Stan leaves the starting line 1.00 s before Kathy. Assume Stan moves with a constant acceleration of 3.45 m/s2 and Kathy maintains an acceleration of 5.10 m/s2. (a) Find the time it takes Kathy … 
physics
Kathy Kool buys a sports car that can accelerate at the rate of 5.00 m/s2. She decides to test the car by racing with another speedster, Stan Speedy. Both start from rest, but experienced Stan leaves the starting line 1.00 s before … 
physics
Stan raises a 1110 N piano a distance of 5.00 m using a set of pulleys. Stan pulls in 20.0 m of rope. 
Physics
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 … 
Math
Stan's Cans, Inc. expects to earn $150,000 next year after taxes on sales of $2,200,000. Stan's manufactures only one size of garbage can and is located in the small, but beautiful, town of Mount Dora, Florida. Stan sells his cans … 
Physics
A young woman named Kathy Kool buys a sports car that can accelerate at the rate of 4.6 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 … 
physics
A young woman named Kathy Kool buys a sports car that can accelerate at the rate of 4.16 m/s2. She decides to test the car by drag racing with another speedster, Stan Speedy. Both start from rest, but experienced Stan leaves the starting … 
Physics
A young woman named Kathy Kool buys a sports car that can accelerate at the rate of 5.14 m/s 2 . She decides to test the car by drag racing with another speedster, Stan Speedy. Both start from rest, but experienced Stan leaves the …