Calculating Resistance of Race Car Nosecone for Head-On Collision

[Rickcd]

I am struggling to calculate the required resistance of a single seater race cars nosecone in the event of a head on collision to the nosecone.

The data I have been given is:

Mass of car: 300kg
Velocity at impact: 7ms^-1
Impacting to a non-yielding barrier
Length of nosecone 0.3m
Peak deceleration no more than 40g (392.4 ms^-2)
Average deceleration no more than 20g (196.2 ms^-2)

If anyone could provide me with the equations required to find these figures i would be greatly appreciative.

Thanks

Rick

 

[Rickcd]

as I believe, using the SUVAT equations

s=0.3m
v=0.0ms^-1
u=7.0ms^-1
a is unknown
t is unknown
p=2100 kgms^-1

using v^2=u^2+2as

I can obtain

0=49+0.6a

giving

a=-81.67ms^-2

then

F=ma

F=300*81.67

so

F=24498 N

But I'm stuck from this point