Differentiate f() = ( − cos()) sin()
1 answer:
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Answer:
The speed of wind is 30 miles/hour
Speed of plane in still air is 108 miles /hour
Step-by-step explanation:
Distance traveled by plane to Bangkok = 1794 miles
The trip there was with the wind. Time taken = 13 hours.
The trip back was into the wind. The trip back took 26 hours.
Let s = plane speed in still air
let w = speed of the wind
(s+w) = speed of plane with wind
(s-w) = speed of plane against wind
Distance = Speed * Time
When the trip was with the wind .
⇒
⇒
⇒ ---1
When The trip back was into the wind.
⇒
⇒
⇒ ---2
Add 1 and 2
⇒s+w+s-w =138+78
⇒2s =216
⇒
⇒
To find w substitute the value of s in 1
⇒
⇒
⇒
Thus the speed of wind is 30 miles/hour
Speed of plane in still air is 108 miles /hour
<u>Given</u>:
The height of an object project upward is given by the polynomial
where t represents the time, in seconds.
We need to determine the height after t = 2.5 seconds.
<u>Height of an object:</u>
The height of an object after 2.5 seconds can be determined by substituting t=2.5 in the polynomial, we get;
Simplifying, we get;
Thus, the height of an object is 140 feet.