# Algebra

A golf ball is struck by a​ 60-degree golf club at an initial velocity of
84
feet per second. The height of the golf ball in feet is given by the quadratic function h(x)= 16 x^2/(42)^2+72.7/42x where x is the horizontal distance of the golf ball from the point of impact. What is the horizontal distance of the golf ball from the point of impact when the ball is at its maximum​ height? What is the maximum height obtained by the golf​ ball?

1. 15
1. I think you are missing a minus sign on the x^2 term, since g = -32 ft/s^2

h(x) = 1/42 (-16/42 x^2 + 72.7x)
= x/42 (-16/42 x + 72.7)
h=0 when x=0 (ball is hit), and when
x = 190.8 (ball lands)
The symmetry of a parabola means that the ball is at its highest midway between the two roots.

Just plug that in to find the max height.

http://www.wolframalpha.com/input/?i=-16+x^2%2F%2842%29^2%2B72.7%2F42x

posted by Steve
2. 330.2657

posted by bb

## Similar Questions

1. ### Physics

A golf ball of mass 30.0 grams is struck by a 4.00 kg golf club for a time of 3.00 ms. If the golf ball obtains a velocity of 25.0 m/s after being struck then with what force did the club strike the golf ball? a. 2.50 N b. 7.50 N
2. ### math

A golf ball of mass 4.6 g is struck by a golf club at a speed of 50 m/s. The ball has inital velocity ,v, in metres per second, of v(m) = 83/(m+0.046), where m is the mass, in grams, of the golf club. Describe the rate of change
3. ### Physics

A golf ball is struck by a golf club at 55 m/s at an angle of 28.0o above the horizontal. The mass of the ball is 45 grams and is in contact with the golf club for 1.5 m/s. Calculate the average force exerted on the ball by the
4. ### Physics

A golf ball has a mass of 0.05 kg. It is initially at rest, but after being struck by a golf club it is given a speed of 30 m/s. The club and the ball are in contact for 2 ms (.002 seconds). a) What is the average force acting on
5. ### Physics

On a flat golf course, a golf ball lies 12m from the base of a lamp post. A golfer hits the ball with a club, giving the golf ball an initial velocity of 18 m/s. At 2.9 seconds, after being hit, the golf ball strikes the top of
6. ### physics

A golf ball with a mass of 0.080kg initially at rest is given a speed of 50 m.s-1 when it is struck by a golf club. A) If the club and ball are in contact for 1.5 millisecond (0.0015 seconds), What average force acts on the ball?
7. ### Physics

A golf ball of mass 50.0 grams is at rest on a tee. It is struck by a golf club with an average force of 850 Newtons. The ball accelerates to a speed of 68.0 m/sec. How long was the club in contact with the ball?
8. ### Physics

A golf ball has a mass of 0.05 kg. It is initially at rest, but after being struck by a golf club it is given a speed of 30 m/s. The club and the ball are in contact for 2 ms (.002 seconds).
9. ### SCIENCE(CHECK ANSWER)

how does the use of a golf club make it easier to move a golf ball from its starting position to a hole 250 yards away? A.the golf club reduces the distance over which the input force is applied B.the golf club reduces the input