A helicopter is 800 m above ground and descending at 55 m/min. An airplane is taking off and rising 80 m/min.

Equation, expression, and inequalitie
asked 2021-02-09
A helicopter is 800 m above ground and descending at 55 m/min. An airplane is taking off and rising 80 m/min.

Answers (1)

Let h represent the height above the ground, in metres. Let t represent time, in minutes. h = 800 - 55t and h = 80t.
If h=80t, then by substitution method: 80t= 800- 55t
Simplified to: 135t=800
\(\displaystyle\frac{{800}}{{135}}\) gives you: t=5.925
having the t value you can then put it into the "h=80t" equation as​ h=80(5.925), giving you: h= 474
To check mathematical accuracy, plug these answers back into the equation as 474= 800 -55(5.925) and 474= 80(5.925) Multiplying these out you would have balancing answers :)
Best answer

expert advice

Have a similar question?
We can deal with it in 3 hours

Relevant Questions

asked 2021-05-16
Where does the helix
\(r(t)=<\cos(\pi t), \sin( \pi t), t >\)
intersect the paraboloid
\(z = x^2 + y^2\)?
(x, y, z) =
What is the angle of intersection between the helix and the paraboloid?
asked 2021-03-26
A helicopter carrying dr. evil takes off with a constant upward acceleration of \(\displaystyle{5.0}\ \frac{{m}}{{s}^{{2}}}\). Secret agent austin powers jumps on just as the helicopter lifts off the ground. Afterthe two men struggle for 10.0 s, powers shuts off the engineand steps out of the helicopter. Assume that the helicopter is infree fall after its engine is shut off and ignore effects of airresistance.
a) What is the max height above ground reached by the helicopter?
b) Powers deploys a jet pack strapped on his back 7.0s after leaving the helicopter, and then he has a constant downward acceleration with magnitude 2.0 m/s2. how far is powers above the ground when the helicopter crashes into the ground.
asked 2021-03-12
A 75.0-kg man steps off a platform 3.10 m above the ground. Hekeeps his legs straight as he falls, but at the moment his feettouch the ground his knees begin to bend, and, treated as aparticle, he moves an additional 0.60 m before coming torest.
a) what is the speed at the instant his feet touch theground?
b) treating him as a particle, what is his acceleration(magnitude and direction) as he slows down, if the acceleration isassumed to be constant?
c) draw his free-body diagram (see section 4.6). in termsof forces on the diagram, what is the net force on him? usenewton's laws and the results of part (b) to calculate the averageforce his feet exert on the ground while he slows down. expressthis force in newtons and also as a multiple of his weight.
asked 2021-05-16
Look Out! A snowball rolls off a barn roof that slopes downward at an angle of 40 degrees . The edge of the roof is 14.0 m above the ground, and the snowball has a speed of 7.00 m/s as it rolls off the roof. Ignore air resistance.
A man 1.9 m tall is standing 4.0 m from the edge of the barn. Will he be hit by the snowball?