Rachel is a stunt driver, and she's escaping from a building that is about to explode! The variable ddd models Rachel's distance from her exit (in meters) ttt seconds after the cameras began recording the stunt. d=-38t+220d=−38t+220d, equals, minus, 38, t, plus, 220 What is Rachel's speed?
Answers
Given:
The variable d models Rachel's distance from her exit (in meters) t seconds after the cameras began recording the stunt. d = - 38t + 220
To find:
What is Rachel's speed?
Solution:
From given, we have,
The expression that represents the Richel's distance is given by,
d = - 38t + 220
where, d represents the distance in meters
t represents the time in seconds
We know that, speed = distance by time.
Therefore, we need to differentiate the given equation w.r.t to time to find the speed.
Hence, we have,
d/dt (d) = d/dt [- 38t + 220]
| d/dt (d) | = | - 38 + 0 |
s = d/dt (d) = 38 m/s
Therefore, the speed of Rachel is 38 m/s.
Answer:
Given:
The variable d models Rachel's distance from her exit (in meters) t seconds after the cameras began recording the stunt. d = - 38t + 220
To find:
What is Rachel's speed?
Solution:
From given, we have,
The expression that represents the Richel's distance is given by,
d = - 38t + 220
where, d represents the distance in meters
t represents the time in seconds
We know that, speed = distance by time.
Therefore, we need to differentiate the given equation w.r.t to time to find the speed.
Hence, we have,
d/dt (d) = d/dt [- 38t + 220]
| d/dt (d) | = | - 38 + 0 |
s = d/dt (d) = 38 m/s
Therefore, the speed of Rachel is 38 m/s.
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