A roller coaster is going down the slope and the speed is 6m/s . 10 seconds later it has reached the bottom of the slope with a speed of 35m/s. what is the acceleration

Respuesta :

Answer:

The acceleration is 2.9m/s^2

Step-by-step explanation:

Given

[tex]Initial\ Speed\ (u) = 6m/s[/tex]

[tex]Final\ Speed\ (v) = 35m/s[/tex]

[tex]Time\ (t) = 10s[/tex]

Required

Determine the acceleration

This question will be answered using Newton's first equation of motion.

[tex]v = u + at[/tex]

Substitute values for v, u and t

[tex]35 = 6 + 10 * a[/tex]

[tex]35 = 6 + 10 a[/tex]

Collect Like Terms

[tex]10a = 35-6[/tex]

[tex]10a = 29[/tex]

Solve for a

[tex]a = 29/10[/tex]

[tex]a = 2.9[/tex]

Hence, the acceleration is 2.9m/s^2

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