Two autos, P and Q, start from the same point and race along a straight road for 10 seconds. The velocity of P is given by  feet per second. The velocity of Q is shown in the graph.   (a) At what time is P’s actual acceleration (in ft/sec2) equal to its average acceleration for the entire race? (b) What is Q’s acceleration (in ft/sec2) then? (c) At the end of the race, which auto was ahead? Explain.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.3: Implicit Differentiation
Problem 24E
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Two autos, P and Q, start from the same point and race along a straight road for 10 seconds. The velocity of P is given by  feet per second. The velocity of Q is shown in the graph.

 

(a) At what time is P’s actual acceleration (in ft/sec2) equal to its average acceleration for the entire race?

(b) What is Q’s acceleration (in ft/sec2) then?

(c) At the end of the race, which auto was ahead? Explain.

4. Two autos, P and Q, start from the same point and race along a straight road for 10
seconds. The velocity of P is given by ")=6(v1+8f - 1) feet per second. The velocity
of Q is shown in the graph.
(10,80)
80
60
40
(5,20)
20 +
(0,0)-
+' (sec)
5
10
(a) At what time is P's actual acceleration (in ft/sec2) equal to its average acceleration
for the entire race?
(b) What is Q's acceleration (in ft/sec2) then?
(c) At the end of the race, which auto was ahead? Explain.
v (f/'sec)
Transcribed Image Text:4. Two autos, P and Q, start from the same point and race along a straight road for 10 seconds. The velocity of P is given by ")=6(v1+8f - 1) feet per second. The velocity of Q is shown in the graph. (10,80) 80 60 40 (5,20) 20 + (0,0)- +' (sec) 5 10 (a) At what time is P's actual acceleration (in ft/sec2) equal to its average acceleration for the entire race? (b) What is Q's acceleration (in ft/sec2) then? (c) At the end of the race, which auto was ahead? Explain. v (f/'sec)
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