5. At 2:00 p.m. a car is traveling at 22 mph. Four minutes later the car is trav

Question

5. At 2:00 p.m. a car is traveling at 22 mph. Four minutes later the car is traveling at 32 mph. Was the car ever moving at 30 mph over this interval? Why or why not?

6. A body is thrown upward so that its height h at the end of t seconds is h = 160t ? 16t?2 ft. Which of the following is its maximum height?

7. The given region is the combination of a semicircle with radius 2 cm and a right isosceles triangle with base length 4 cm. Find the area of the given region using the formula for the area of a circle, A = ?r2 where r is the circle's radius, and the formula for the area of a triangle, A = bh/2 where b and h are the lengths of the triangle's base and height, respectively. Remember, a semicircle's area is one half the area of the circle with the same radius.

Yes, the car was moving at 30 mph at least once over the interval. The reason is that the car had to accelerate through 30 mph to reach 32 mph.

Explanation / Answer

6)given  h=160t-16t^2
h'=160-32t ,

h'=0
160=32t

t=160/32
t=5
Plug in 5 to original equation.
h(5)=160(5)-16(5)^2
h(5)=800-400
h(5)=400
Answer: 400

5)Yes, the car was moving at 30 mph at least once over the interval. The reason is that the car had to accelerate through 30 mph to reach 32 mph.

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