Solve the problem.The motion of a projectile that is fired at a 45° angle with the horizontal is given by x = v0t,  for t in  Suppose a projectile is fired with an initial velocity of 450 feet per second at an angle of 45° with the horizontal. Find (a) the time when it reaches maximum altitude (b) the maximum altitude.

A. (a) 39.8 sec
(b) 3164 ft
B. (a) 9.9 sec
(b) 1582 ft
C. (a) 19.9 sec
(b) 6328 ft 
D. (a) 19.9 sec
(b) 1582 ft


Answer: B

Mathematics

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Make the required change in the given equation.? = 3 cos ? sin ? to Cartesian coordinates

A. x2 + y2 + z2 - 3x = 0
B.  = 3x
C. x2 + y2 + z2 - 3z = 0
D.  = 3y

Mathematics

Factor the expression completely. If the polynomial is prime, state this as your answer.a2b2 - 36

A. (b + 6)(b - 6) B. (a2b + 6)(ab - 6) C. (ab + 36)(ab - 36) D. (ab + 6)(ab - 6)

Mathematics

The lengths of two vectors a and b, and the angle ? between them, are given. Find the length of their cross product, |a x b|. Write the answer correct to three decimal places.

|a| = 0.12, |b| = 1.25, ? =85°

Mathematics

Divide. Write the quotient in lowest terms. ÷ 

A.
B.
C.
D. km

Mathematics