Logs & Functions Integral
Hey so I have this question dealing with logarithms and exponential functions. Can anyone shed some light on it?
edit for clarity:
The question is essentially there are 2 cars. You are Car A and you want to race Car B. You need to meet 3 out of 4 of the requirements in order to successfully win. You need to determine the 4 questions for each equation ( Both car A and car B)
2 cars, each has their own formula.
A- V(t)= 19.74 x 3 ^ (1975t-1) (Max velocity of your car is 450 km/h)
B- P(t)= -344990 log (-0.5(t-2))
1- Car A 0-100km/h faster than Car B?
2- Car A's Max velocity before 6.5 seconds greater than Car B?
3- Car A has Higher average rate of acceleration over first 8 seconds than Car B?
4- Car A's Instanteous rate of acceleration greater than Car B at 5 seconds
Thanks for the help!