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The roller coaster is designed according to safety regulations that prohibit the speed of the car from exceeding 20 m/s. find the maximum value of a allowed by these regulations.

Respuesta :

maximum allowed value of the speed in roller coaster is given as

[tex]v = 20 m/s[/tex]

now from kinematics we can say

[tex]v^2 - v_i^2 = 2 a s[/tex]

here initial speed will be

[tex]v_i = 0[/tex]

acceleration is due to gravity

[tex]a = 9.8 m/s^2[/tex]

now we can use this to find the height

[tex]20^2 - 0^2 = 2 * 9.8* h[/tex]

[tex]400 = 19.6 *h[/tex]

[tex]h = 20.4 m[/tex]

so maximum allowed height will be 20.4 m

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