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A ball is dropped from the top of a

building. The expression 4.9x2 gives the distance in meters the ball
has fallen after x seconds. Write and simplify an expression that gives the
distance in meters the ball has fallen after x2 seconds. after x3 seconds.

User Boutta
by
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1 Answer

5 votes

Clear question is;

A ball is dropped from the top of a

building. The expression 4.9x² gives the distance in meters the ball

has fallen after x seconds. Write and simplify an expression that gives the

distance in meters the ball has fallen after x² seconds. after x³ seconds.

Answer:

A) Distance = 4.9x⁴

B) Distance = 4.9x^(6)

Explanation:

We are given the expression 4.9x² which is the distance in meters the ball

has fallen after x seconds.

Thus,

A) after x² seconds, we have;

Distance = 4.9(x²)²

Distance = 4.9 * (x²) * (x²)

When we have to multiply 2 same numbers with the same power, the powers add up. Thus, we now have;

Distance = 4.9x⁴

B) after x³ seconds, we have;

Distance = 4.9(x³)²

Distance = 4.9 * (x³) * (x³)

When we have to multiply 2 same numbers with the same power, the powers add up. Thus, we now have;

Distance = 4.9x^(6)

User Alengel
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7.2k points