Solution 8.7b

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(New page: We use the expression for the position vector obtained in part a), <math> \mathbf{r}=(8\mathbf{i}+10\mathbf{j})t+\frac{1}{2}(-10\mathbf{j}){{t}^{\ 2}} </math> From part a) the ball hits t...)
Current revision (11:45, 18 April 2010) (edit) (undo)
 
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From part a) the ball hits the ground when <math>t=2\text{ s}</math>.
From part a) the ball hits the ground when <math>t=2\text{ s}</math>.
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The distance along the ground is the <math>\mathbf{i}</math> component giving <math>16\text{ m}</math>
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The distance along the ground is the <math>\mathbf{i}</math> component at this time giving,
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<math>16\text{ m}</math>

Current revision

We use the expression for the position vector obtained in part a), \displaystyle \mathbf{r}=(8\mathbf{i}+10\mathbf{j})t+\frac{1}{2}(-10\mathbf{j}){{t}^{\ 2}}

From part a) the ball hits the ground when \displaystyle t=2\text{ s}.

The distance along the ground is the \displaystyle \mathbf{i} component at this time giving,

\displaystyle 16\text{ m}