1 dimensional kinematics with car and motorcycle

[tk24700]

Homework Statement

Two friends agree to test their physics background in 1D motion. Steve, is a distance d ahead of Jack. Jack is driving at a constant, know velocity v0 when they start their experiment. At this moment, Steve accelerates from rest with his motorcycle in such a way that they only meet once at time tF at a distance xF from where Jack started the experiment.
a)What is the velocity of Steve starting from rest once he meets Jack in terms of v0
b) show that the acceleration for Steve is given by a= v^2/2a
c) Show that the time tF is given by : tF= 2d/v0
d) Show that the distance xF, i.e. the distance Jack traveled after he started counting the experiment, is given by: xF= 2d

Homework Equations

The Attempt at a Solution

I have b and c. I cannot for my life seem to get (a and d). Any hints or help would help. [/B]

 

[PWiz]

Jack is driving at a constant, know velocity v0 when they start their experiment.

v_0 in which direction? Towards Steve or away from him?
Also, does Steve undergo uniform acceleration?

 

[gneill]

For (a) you can make a logical argument about what Steve's speed must be when they meet given that they do meet and only once.

For (d), consider your answer to (c) and what you know about Jack's speed.

 

[insightful]

b) show that the acceleration for Steve is given by a= v^2/2a

Is there a typo here?

 

[tk24700]

Is there a typo here?

Yes, it should be a= v^2/2d