Question

The position vs time of a object is given by

LaTeX: small vec{r} = (3 m - 5 rac{m}{s} t)~ hat{i} +(2 m + 3 rac{m}{s^2} t^2 )~hat{j} - 4 rac{m}{s^2} t^2 ~hat{k}

1. What is the y velocity in m/s at 4.5 seconds? Answer in m/s.

2. At what time is the speed equal to 15 m/s? Answer in s.

0 s
1 s
2 s
10 s

21/2 s

23/2 s

3. The velocity of an object vs. time is given by

LaTeX: vec{v} = (3 rac{m}{s} - 2 rac{m}{s^2 } t) hat{i} + 1.5 rac{m}{s^3} t^2~hat{j}

What is the acceleration at t = 2s?

Note: the acceleration is non-constant! Take the derivative of the velocity!

// + 6쯩j

/2 2

7m 2 s2

1 1-2 3

zero
0 0
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