Between t=0t=0 and t=t0t=t0, a rocket moves straight upward with an acceleration given by a(t)=P+Qt1/2a(t)=P+Qt1/2, where PP and QQ are constants. (a) If aa is in m/s2m/s2 and tt is in seconds, what are the units of PP and QQ? Suppose PP and QQ both have numerical values of 1.00. (b) If the rocket starts from rest, how does the velocity vary between t=0t=0 and t=t0t=t0? (c) If its initial position is zero, what is the rocket’s position as a function of time during this same time interval?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter2: Motion In One Dimension
Section: Chapter Questions
Problem 10P: An object moves along the x axis according to the equation x = 3.00t2 2.00t + 3.00, where x is in...
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Between t=0t=0 and t=t0t=t0, a rocket moves straight upward with an acceleration given by a(t)=P+Qt1/2a(t)=P+Qt1/2, where PP and QQ are constants. (a) If aa is in m/s2m/s2 and tt is in seconds, what are the units of PP and QQ? Suppose PP and QQ both have numerical values of 1.00. (b) If the rocket starts from rest, how does the velocity vary between t=0t=0 and t=t0t=t0? (c) If its initial position is zero, what is the rocket’s position as a function of time during this same time interval?

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