contestada

An object initially traveling in a straight line with
a speed of 5.0 meters per second is accelerated
at 2.0 meters per second squared for 4.0 seconds.
The total distance traveled by the object in the
4.0 seconds is

Respuesta :

Answer:

We conclude that the total distance traveled by the object in the 4 seconds is 36 m.

Explanation:

Given

  • Initial velocity u = 5.0 m/s
  • Acceleration a = 2.0 m/s²
  • Time t = 4 s

To determine

The total distance traveled by the object in the  4.0 seconds is

Important Tip:

We can determine the total distance traveled by the object in the  4.0 seconds by using the equation of motion such as

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

where

  • s = distance
  • u = initial velocity
  • a = acceleration
  • t = time

substituting u = 5.0, a = 2, and t = 4 in the formula

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

[tex]s=\left(5\right)\left(4\right)+\frac{1}{2}\left(2\right)\left(4\right)^2[/tex]

[tex]s=20+16[/tex]

[tex]s=36[/tex] m

Therefore, we conclude that the total distance traveled by the object in the 4 seconds is 36 m.

Lanuel

The total distance traveled by the object is 36 meters.

Given the following data:

  • Initial velocity = 5.0 m/s
  • Acceleration = 2.0 [tex]m/s^2[/tex]
  • Time = 4.0 seconds.

To find the total distance traveled by the object, we we  would use the second equation of motion.

Mathematically, the second equation of motion is given by the formula;

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

Where:

S is the total distance traveled.

u is the initial velocity.

a is the acceleration.

t is the time measured in seconds.

Substituting the values into the formula, we have;

[tex]S = 5(4) + \frac{1}{2}(2)(4^2)\\\\S = 20 + 1(16)[/tex]

Total distance, S = 36 meters.

Therefore, the total distance traveled by the object is 36 meters.

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