# Answer to Question #73980 in Mechanics | Relativity for roselyka

Question #73980

You're riding a unicorn at 25m/s and come to a uniform stop at a red light 20m away. What's your acceleration ?

Expert's answer

We can find acceleration of the unicorn from the kinematic equation:

v^2=v_0^2+2as,

here, v_0=25 m⁄s is the initial velocity of the unicorn, v=0 is the final velocity of the unicorn when it stops at the red light, a is the acceleration of the unicorn and s=20 m is the distance from the red light at which the unicorn begins to stop.

Then, we get:

a=-(v_0^2)/2s=-(25 m/s)^2/(2∙20 m)=-15.6 m/s^2 .

The sign minus indicates that the unicorn is decelerates.

Answer:

a=-15.6 m/s^2 .

v^2=v_0^2+2as,

here, v_0=25 m⁄s is the initial velocity of the unicorn, v=0 is the final velocity of the unicorn when it stops at the red light, a is the acceleration of the unicorn and s=20 m is the distance from the red light at which the unicorn begins to stop.

Then, we get:

a=-(v_0^2)/2s=-(25 m/s)^2/(2∙20 m)=-15.6 m/s^2 .

The sign minus indicates that the unicorn is decelerates.

Answer:

a=-15.6 m/s^2 .

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