The height of a ball t seconds after it is thrown upward from a height of 5 feet and with an initial velocity of 64 feet per second is f (t) = -16t2 + 64t + 5. (a) Verify that f(1) = f(3). f (1) = ft f (3) = ft (b) According to Rolle's Theorem, what must be the velocity at some time in the interval (1, 3)? ft/sec Find that time. t = s

(a) f(1) = ft(3) = 53 ft

(b) t = 2.156 s

Step-by-step explanation:

The function for the height of the ball is:

(a) For t = 1s

For t = 3s

Therefore, f(1) = f(3)

(b) According to Rolle's Theorem, if the function yields the same height in two distinct points, there must be a stationary point between them, that is, a point where the velocity is zero.

The velocity function is found by differentiating the height function:

When the velocity is zero:

step-by-step explanation:

hans did not square the 40-unit side; he merely multiplied it by 2.   incorrect.

the correct answer is

c. 4

step-by-step explanation:

the given polynomial is

the degree of the polynomial is the highest exponent which is 4.

the -4 is called the leading coefficient.

this polynomial has only one term so it is a monomial.

the correct answer is option c.