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: [tex]h=-0.002d^2+0.3d\,,\,h=-0.004d^2+0.5d[/tex]
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)
[tex]-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[/tex]
(b)
Put d = 100 in [tex]h=-0.002d^2+0.3d[/tex]
[tex]h=-0.002(100)^2+0.3(100)\\=-20+30\\=10\,\,metres[/tex]
