7. Exercises
From Mechanics
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| + | ===Exercise 7.1=== | ||
| + | <div class="ovning"> | ||
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| + | A football ball is kicked so that its position, in metres, at time t seconds is given by | ||
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| + | <math>\mathbf{r}=6t\mathbf{i}+\left( 15t-4.9{{t}^{2}} \right)\mathbf{j}</math> | ||
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| + | where <math>\mathbf{i}</math> and <math>\mathbf{j}</math> are horizontal and vertical unit vectors respectively. | ||
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| + | a) Find the position of the ball when t = 0, 1, 2, 3 and 4 seconds. | ||
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| + | b) Plot the path of the ball. | ||
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| + | c) From your plot estimate the horizontal distance travelled by the ball | ||
| + | when it hits the ground. | ||
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| + | </div>{{#NAVCONTENT:Answer a|Answer 7.1a|Answer b|Answer 7.1b|Answer c|Answer 7.1c|Solution a|Solution 7.1a|Solution c|Solution 7.1c}} | ||
Revision as of 14:53, 11 September 2009
| Theory | Exercises |
Exercise 7.1
A football ball is kicked so that its position, in metres, at time t seconds is given by
\displaystyle \mathbf{r}=6t\mathbf{i}+\left( 15t-4.9{{t}^{2}} \right)\mathbf{j}
where \displaystyle \mathbf{i} and \displaystyle \mathbf{j} are horizontal and vertical unit vectors respectively.
a) Find the position of the ball when t = 0, 1, 2, 3 and 4 seconds.
b) Plot the path of the ball.
c) From your plot estimate the horizontal distance travelled by the ball when it hits the ground.
Answer a
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Answer b
Answer c
Solution a
Solution c
