The position of a particle is given by; \(\vec r(t)=4t\hat i+2t^2\hat j+5\hat k,\) where \(t\) is in seconds and \(r\) in metres. Find the magnitude and direction of the velocity \(v(t)\), at \(t=1~\text{s},\) with respect to the \(x\text-\)axis.
1. \(4\sqrt2~\text{ms}^{-1},45^\circ\)
2. \(4\sqrt2~\text{ms}^{-1},60^\circ\)
3. \(3\sqrt2~\text{ms}^{-1},30^\circ\)
4. \(3\sqrt2~\text{ms}^{-1},45^\circ\)
Subtopic:  Speed & Velocity |
 81%
From NCERT
NEET - 2023
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A car turns at a constant speed on a circular track of radius \(100~\text m,\) taking \(62.8~\text s\) for every circular lap. The average velocity and average speed for each circular lap, respectively, is:

1. \(0,~0\) 2. \(0,\)  \(10~\text{m/s},\)
3. \(10~\text{m/s},\) ​​​​​​​ \(10~\text{m/s},\) 4. \(10~\text{m/s},\) \(0\)
Subtopic:  Speed & Velocity |
 83%
From NCERT
AIPMT - 2006
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