Answer:
a) 10^6 m/s^2
b) 7.39 s
Explanation:
Hello!
If the velocity is given by:
[tex]v(t) = c_1 + c_2 t^2[/tex]
Then the acceleration is the derivative of the velocity with respect of time:
[tex]a(t) = 2 c_2 t[/tex]
a)
Therefore the acceleration at t=5.0s is:
[tex]a(5.0s) = 2 c_2 \times 5.0 = 10^6 m/s^2[/tex]
b)
The velocity will become unphysical when it equals the velocity of ligth (3x10^8 m/s)
3x10^8 m/s = 2x10^5 m/s + 10^5 m/s^3 t^2
Solving for t:
t^2 = 2998 s^2
t = 7.39 s
