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A skateboarder is moving at a constant speed of
1.75 m/s when she starts up an incline that causes
her to slow down with a constant acceleration of
-0.20 m/s2. How much time passes from when
she begins to slow down until she begins to
move back down the incline?

Respuesta :

Lanuel

The amount of time that passes from when  this skateboarder begins to slow down until she begins to  move back down the incline is 8.75 seconds.

Given the following data:

  • Speed = 1.75 m/s
  • Acceleration = -0.2 [tex]m/s^2[/tex]

To calculate the amount of time that passes from when  this skateboarder begins to slow down until she begins to  move back down the incline, we would apply the first equation of motion;

The formula for the first equation of motion.

Mathematically, the first equation of motion for a decelerating object is given by this formula;

[tex]V=U-at[/tex]

Where:

  • a is the acceleration.
  • V is the final speed.
  • U is the initial speed.
  • t is the time measured in seconds.

Substituting the given parameters into the formula, we have;

[tex]1.75 = 0-(-0.2)t\\\\1.75=0.2t\\\\t=\frac{1.75}{0.2}[/tex]

Time, t = 8.75 seconds.

Read more on acceleration here: https://brainly.com/question/24728358

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