Solve.The formula h = 234t - 7.8t2 can be used to predict the height in meters of a small rocket launched straight upward from the ground with an initial velocity of 7.8 meters per second. The number of seconds after launch is represented by t. (i) Using the given formula, complete the tablet051015202530h???????(ii) From the preceding table, plot the ordered pairs (t, h). Draw a smooth curve passing through the points.(iii) What are the t- and h- intercepts of the graph?(iv) Approximate the maximum height reached by the rocket (to the nearest tenth).(v) After how many seconds does the rocket hit the ground?
What will be an ideal response?
(i)
| t | 0 | 5 | 10 | 15 | 20 | 25 | 30 |
| h | 0 | 975.0? | 1560.0? | 1755.0? | 1560.0? | 975.0? | 0 |
(ii)
(iii) t-intercepts: (0, 0) and (30, 0); h-intercept: (0, 0)
(iv) The maximum height reached by the rocket was 1755.0 meters.
(v) The rocket hits the ground 30 seconds after launch.
Mathematics
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