Answered

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A car traveling at a speed of 30.0 m/s encounters an emergency and comes to a complete stop in 7.5 seconds? What is the cars acceleration?

Sagot :

MrRoyal

Answer:

The acceleration is: [tex]4m/s^2[/tex]

Explanation:

Given

[tex]u = 30.0m/s[/tex] --- The initial velocity

[tex]t = 7.5s[/tex] --- time

[tex]v = 0m/s[/tex] -- The final velocity

Required

Determine the acceleration

To do this, we make use of the first equation of motion

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

We used negative because the car was coming to stop.

This gives:

[tex]0 = 30 - 7.5 * a[/tex]

[tex]0 = 30 - 7.5a[/tex]

Collect like terms

[tex]7.5a = 30[/tex]

Solve for a

[tex]a = \frac{30}{7.5}[/tex]

[tex]a = 4m/s^2[/tex]

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