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Diano4ka-milaya [45]
3 years ago
13

The approximate height, h, in meters, traveled by golf balls hit with two different clubs over a horizontal distance of d meters

is given by the following functions:
seven-iron: h=-0.002d^2 + 0.3d
nine-iron: h= -0.004d^2 + 0.5d

a) at what distances is the ball at the same height when either of the clubs used?
b) what is this height?
Mathematics
1 answer:
inna [77]3 years ago
4 0

Answer:

a) 100 metres

b) 10 metres

Step-by-step explanation:

Given: the approximate height, h, in meters, travelled by golf balls hit with two different clubs over a horizontal distance of d meters is given by the functions: h=-0.002d^2+0.3d\,,\,h=-0.004d^2+0.5d

To find: distances when the ball is at the same height when either of the clubs  are used. Also, to find this height

Solution:

(a)

-0.002d^2+0.3d=-0.004d^2+0.5d\\d(-0.002d+0.3)=d(-0.004d+0.5)\\-0.002d+0.004d=0.5-0.3\\0.002d=0.2\\d=\frac{0.2}{0.002}=100\,\,metres

(b)

Put d = 100 in h=-0.002d^2+0.3d

h=-0.002(100)^2+0.3(100)\\=-20+30\\=10\,\,metres

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