Can you please help me with C and D? The table below shows the differentiable fu
ID: 2878445 • Letter: C
Question
Can you please help me with C and D?
The table below shows the differentiable function. nu(t). representing the velocity of a car. Consider the following two statements: Statement I: At t = 4, the velocity of the object is decreasing. Statement II: At t = 4, the speed of the object is increasing Are either or both of these statements correct? For each statement provide a reason why it is correct or nor correct Estimate the acceleration of the car at t = 5. Show the computation that leads to your answer and indicate units of measure. For 0 lessthanorequalto t lessthanorequalto16, what is the least number of times at which nu(t) must equal 20? Is there guaranteed to be a timer t = c in the interval 0 lessthanorequalto t lessthanorequalto 16 such that a(c) = -1/6? .Explanation / Answer
C) velocity will be 0, when slope of tangent to the velocity curve become 0.It means no to times acceleration is changing sign. From the given data we can see acceleration is changing sign from + to - 1 times and - to + 1 times, Hence velocity will be zero twice.
D)Yes, because minimum and maximum value of acceleration is -7 and 8 respectvely. And -1/6 is in between this . Hence acceleration will be -1/6 at some where in the given interval.