a tennis ball is dropped from a height of 10m. Each time the ball touches the ground, it bounces up to approx. 45% of the maximum height of the previous bounce. Determine its height after 5 bounces.

Question

anonymous · Answer

Use the method of geometrical Progression

anonymous · Answer

which is that?

anonymous · Answer

Do you know about G.P, I mean Geometric series or progression

anonymous · Answer

im somehow suppose to use the equation y=ca^x to solve this but i have no idea how to apply it

anonymous · Answer

i know that c=10, x=1 and y= 4.5 but idk where to go from there

anonymous · Answer

if you know up to there then just plug in these values to get a on the equation

anonymous · Answer

i have to solve for 'a' but how can i do so when there is ^x ? do i use the log function?

anonymous · Answer

So a=0.45 which gives you the equation y=10*0.45^x
Yeap, use the log function

anonymous · Answer

what does the star mean? 10* ?

anonymous · Answer

multiply

anonymous · Answer

ok, thanks a lot !

anonymous · Answer

My pleasure