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Vsevolod [243]
3 years ago
5

(b) A ball is dropped from a height 30m above the ground and rebounds to ¾ of previous height continuously until it stops. Find

the distance that the ball bounces when it hits the ground the 10 th time. ( Ans to 2 d.p).
Mathematics
1 answer:
ValentinkaMS [17]3 years ago
4 0

Answer:

2.253m

Step-by-step explanation:

I used geometric sequence to find it. 30(3/4)^9 is what I used. Double check by solving that on your own if the answer is important ;)

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6. Write the explicit formula for the geometric sequence of the height of the ball on the 10th bounce.First bounce: 54 inchescom
Nat2105 [25]

The height of the ball initially is 54 inches. The common ratio has been provided which is 0.750.

The explicit formular for the geometric sequence is shown as;

\begin{gathered} ar^{n-1} \\ \text{Where a is the first term in the sequence,} \\ r\text{ is the common ratio betw}een\text{ every successive term} \\ \text{And n is the nth term} \\ \text{The explicit formular for the height of the ball on the 10th bounce is;} \\ ar^{n-1} \\ 54\times(0.750)^{10-1} \\ 54\times(0.750)^9 \\ 54\times0.07508468\ldots \\ 4.0545 \end{gathered}

The explicit formula is shown as;

54 x (0.750)^9

The rest is simply to solve for the height on the 10th bounce

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Step-by-step explanation:

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