The acceleration function is a(t) = 2t + 3 in m/s^2 for a particle moving along a line. Also,...
Question:
The acceleration function is {eq}a(t) = 2t + 3 ~in~ \frac {m}{s^2} {/eq} for a particle moving along a line. Also, v(0) = -4.
Find the distance traveled during {eq}0 \leq t \leq 3 {/eq}. Show your work and include units in your answer.
Acceleration:
The rate at which the velocity associated to an object is changing is termed as acceleration of that object. The S.I. unit of acceleration is {eq}{\rm{m/se}}{{\rm{c}}^{\rm{2}}}{/eq}. If the acceleration function is known to us then by integrating it with respect to time, we can obtain the velocity function. The S.I. unit of velocity is given as {eq}{\rm{m/sec}}{/eq}. When the velocity of the object in not changing with changing time then the acceleration is considered zero for that case.
Answer and Explanation: 1
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Given:
- The acceleration function is {eq}a\left( t \right) = 2t + 3\;{\rm{m/se}}{{\rm{c}}^{\rm{2}}}{/eq}.
Integrate {eq}a\left( t \right) = 2t +...
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