5. A balloon is rising vertically above a level, straight road at a constant rate of 1 ft/sec. Just when the balloon is 65 ft above the ground, a bicycle moving at a constant rate of 17 ft/sec passes under it. How fast is the distance s(t) between the bicycle and balloon increasing 3 sec later?

Q: A hot-air balloon rises straight up at a constant speed of 20 feet/sec. An observer stands 200 feet…

A: The speed of the balloon is dydt=20 ft/s2=VyThe distance between observer and launchingpoint, x=200…

Q: A balloon is rising vertically above a level, straight road at a constant rate of 1 ft/sec. Just…

A: Considering, (y) as the height of the balloon, (x) as the horizontal distance between the balloon…

Q: A car leaves an intersection traveling west. Its position 10 sec later is 110 ft from the…

A:

Q: A man 1.85 m tall approaches a street light 5.4 m above the ground at the rate of 23 mis. How fast…

A: To calculate the rate of change of the shadow of the man.

Q: 4. A basketball player is 7 feet tall walking away from a light that is 28 feet above the ground at…

A:

Q: 11. An airplane is flying parallel to the ground at an altıtude of 2 km and at a speed of 4 km/min.…

A:

Q: A car travels in a straight line.  It increases its speed from 22 m/s to 28 m/s with a constant…

A: Since distance formula for constant acceleration is  v2=u2+2ax where v is final velocity, u is…

Q: Martin is inflating a balloon. For a balloon of radius r, the volume is V = 4/3pi(r)2. At the moment…

A: Given, Volume of balloon is V=43πr3 r is balloon radius in inches. To find, dVdt=? when r=6 inches.

Q: 5. A 200 foot tree is falling in the forest; the sun is directly overhead. At the moment when the…

A: we will solve this problem by drawing a right triangle at the moment the problem considers. In this…