Calculating Overtaking Time and Distance in One-Dimensional Motion

[Ayesh]

Kathy Kool buys a sport car that can accelerate at the rate of 4.90 m/s2. She decides to test the car by racing with another speedster, Stan Speedy. Both start from rest, but experienced Stn leaves the starting line 1.00 s before Kathy. Stan moves with a constant acceleration of 3.50 m/s2 and Kathy maintains an accceleration of 4.90 ms2.

a) Find the time at which Kathy overtakes Stan.
b) Find the distance she travels before she catches him.
c) Find the speeds of both cars at the instant she overtakes him.

I am not asking for the solution, I just want clues to help me resolve this question. Thank you.

 

[Doc Al]

What's the kinematic formula for position as a function of time for uniformly accelerated motion? Use that formula to describe the position of each car as a function of time.

 

[ali_muqaddas]

Ayesh your quote is very crazy yar but i am thinking over it wait please

 

[Ayesh]

For the initial time, should I use Ti-Kathy=1 second and Ti-Stan=0 second?

 

[Doc Al]

What I would do is measure time starting at t = 0 when Kathy starts moving. Where is Stan and how fast is he moving at that time?