Respuesta :
Answer: The correct answer is 34.5 m.
Explanation:
The equation of motion is as follows;
[tex]v^{2} -u^{2}= 2as[/tex]
Here, v is the final velocity, u is the initial velocity, a is the acceleration and s is the distance.
It is given in the problem that a car starts from rest at the top of a hill. A 440 kg roller coaster car is going 26 m/s when it reaches the lowest point on the track.
[tex]v^{2} -u^{2}= 2gs[/tex]
Here, g is the acceleration due to gravity.
Put g= 9.80 m/s^2, u=0 and v= 26 m/s.
[tex](26)^{2} -(0)^{2}= 2(9.8)s[/tex]
[tex]s=\frac{676}{19.6}[/tex]
[tex]s= 34.5 m[/tex]
Therefore, the correct answer is 34.5 m.
