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Once your rocket reaches space, the captain adjusts the speed. your captain goes from 24,000 km/hr to 17,000 km/hr over 90 seconds. what is your acceleration?

Respuesta :

skyluke89

Answer:

-21.6 m/s^2

Explanation:

First of all, we need to convert the initial and final velocities into m/s:

[tex]u = 24,000 km/h = 6666.7 m/s[/tex] is the initial velocity

[tex]v=17,000 km/h =4722.2 m/s[/tex] is the final velocity

The acceleration is given by

[tex]a=\frac{v-u}{t}[/tex]

where

t = 90 s is the time elapsed

Substituting the numbers, we find

[tex]a=\frac{4722.2 m/s-6666.7 m/s}{90 s}=-21.6 m/s^2[/tex]

and the negative sign means the rocket is decelerating.

nuhulawal20

Given the initial and final velocity, the negative acceleration ( re-tardation ) of the rocket in space is -21.6m/s².

What is Motion?

Motion is simply the change in position of an object over time.

From the First Equation of Motion;

v = u + at

Where v is final velocity, u is initial velocity, a is acceleration and t is time elapsed.

Given that;

  • Initial velocity u = 24,000 km/hr = 6666.67m/s
  • Final velocity v = 17,000 km/hr = 4722.22m/s
  • Elapsed time t = 90s
  • Acceleration a = ?

v = u + at

at = v - u

a = ( v - u )/t

a = ( 4722.22m/s - 6666.67m/s ) / 90s

a = ( -1944.45m/s ) / 90s

a = -21.6m/s²

Given the initial and final velocity, the negative acceleration ( re-tardation ) of the rocket in space is -21.6m/s².

Learn more about Equations of Motion here: brainly.com/question/18486505

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