Respuesta :
Answer:
1010 m
Explanation:
t = Time taken
u = Initial velocity
v = Final velocity
s = Displacement
a = Acceleration
[tex]v^2-u^2=2as\\\Rightarrow a=\frac{v^2-u^2}{2s}\\\Rightarrow a=\frac{0^2-68^2}{2\times 250}\\\Rightarrow a=-9.248\ m/s^2[/tex]
[tex]v=u+at\\\Rightarrow t=\frac{v-u}{a}\\\Rightarrow t=\frac{0-68}{-9.248}\\\Rightarrow t=7.35\ s[/tex]
Time taken by the thunderbird to stop is 7.35 seconds
Time the thunderbird was at the pit is 5 seconds
[tex]v^2-u^2=2as\\\Rightarrow a=\frac{v^2-u^2}{2s}\\\Rightarrow a=\frac{68^2-0^2}{2\times 420}\\\Rightarrow a=5.5\ m/s^2[/tex]
[tex]v=u+at\\\Rightarrow t=\frac{v-u}{a}\\\Rightarrow t=\frac{68-0}{5.5}\\\Rightarrow t=12.36\ s[/tex]
Time taken to accelerate back to 68 m/s is 12.36 seconds
Total time to this point is 7.35+5+12.36 = 24.71 seconds
The Mercedes Benz is moving at a constant velocity hence it has no acceleration and we use the formula
Distance = Speed × Time
⇒Distance = 68 × 24.71 = 1680 m
The thunderbird has covered 250+420 = 670 m
So, the distance between them is 1680-670 = 1010 m
