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Exercises Motion in a straight line

Quick check from College Physics, 2.5 Motion Equations for Constant Acceleration in One Dimension

Motion Equations for Constant Acceleration in One Dimension: quick check

A rocket accelerates at a rate of ${20 m/s}^{2}$ during launch. How long does it take the rocket to reach a velocity of 400 m/s?

Answer it in your own words before you look.

Answer
To answer this, choose an equation that allows you to solve for time $t$ , given only $a$ , $v_{0}$ , and $v$ .

$v = v_{0} + at$
2.70

Rearrange to solve for $t$ .

$t = \frac{v - v}{a} = \frac{400 m/s - 0 m/s}{{20 m/s}^{2}} = 20 s$
2.71

How did it go?

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From College Physics (1st edition) by OpenStax (Rice University), section 2.5, licensed under CC BY 4.0. Original at openstax.org. We split the solution into steps; the words, numbers and figures are the book's. OpenStax doesn't endorse this site.