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An object with an initial velocity of 3.50 m/s moves east along a straight level path the object then undergoes a constant acceleration of 1.80 m/s east for a period of 5.00 s. How far does the object move while it is accelerating

Respuesta :

distance traveled by the object is given as

[tex]x = v_i t + \frac{1}{2} at^2[/tex]

given that

[tex]v_i = 3.50 m/s[/tex]

[tex]a = 1.80 m/s^2[/tex]

[tex] t = 5 s[/tex]

now plug in all the values above

[tex]x = (3.50)(5) + \frac{1}{2}(1.80)(5)^2[/tex]

[tex]x = 40 m[/tex]

so here it will move total distance of 40 m

Lanuel

The distance covered by the object while it is accelerating is 40 meters.

Given the following data:

  • Initial velocity = 3.50 m/s.
  • Acceleration = 1.80 [tex]m/s^2[/tex]
  • Time = 5.00 seconds.

To determine the distance covered by the object while it is accelerating, we would apply the second equation of motion:

The second equation of motion.

Mathematically, the second equation of motion is given by this formula:

[tex]S=ut+\frac{1}{2} at^2[/tex]

Where:

  • S is the distance.
  • u is the initial velocity.
  • a is the acceleration.
  • t is the time.

Substituting the given parameters into the formula, we have;

[tex]S=3.5(5)+\frac{1}{2} \times 1.80 \times 5^2\\\\S=17.5+0.9 \times 25\\\\S=17.5+22.5[/tex]

S = 40 meters.

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

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