Question #51364

An electron has a constant acceleration of +2.9 m/s^2. At a certain instant its velocity is +8.7 m/s. What is its velocity (a) 1.6 s earlier and (b) 1.6 s later?
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Expert's answer

2015-03-19T04:10:01-0400

Answer on Question #51364 - Physics - Mechanics | Kinematics | Dynamics

1. An electron has a constant acceleration of +2.9m/s2+2.9 \, \mathrm{m/s^2} . At a certain instant its velocity is +8.7m/s+8.7 \, \mathrm{m/s} . What is its velocity (a) 1.6 s earlier and (b) 1.6 s later?



Let check the dimension: [v1]=[v2]=msms2s=ms.\left[v_{1}\right] = \left[v_{2}\right] = \frac{m}{s} -\frac{m}{s^{2}}\cdot s = \frac{m}{s}.

Let evaluate the quantity:


ν1=8.72.91.6=4.06(ms),ν2=8.7+2.91.6=1334(ms).\nu_ {1} = 8. 7 - 2. 9 \cdot 1. 6 = 4. 0 6 \left(\frac {m}{s}\right), \quad \nu_ {2} = 8. 7 + 2. 9 \cdot 1. 6 = 1 3 \cdot 3 4 \left(\frac {m}{s}\right).


Answer: 4.06ms4.06\frac{m}{s}13.34ms13.34\frac{m}{s}

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