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ASHA 777 [7]
3 years ago
15

An object is dropped from a bridge and allowed to freefall to the ground. The height of the object over time can be modeled usin

g h(t) = 144 – 16t2.
Mathematics
1 answer:
GuDViN [60]3 years ago
8 0

Answer:

<em>3 seconds</em>

Step-by-step explanation:

Complete question:

<em>An object is dropped from a bridge and allowed to freefall to the ground. The height of the object over time can be modeled using h(t)=144-16t2. How many seconds will it take the object to reach the ground? 2 seconds 3 seconds 9 seconds 16 seconds</em>

<em></em>

Given the height of an object modelled by the expression;

<em>h(t)=144-16t²</em>

The object will reach the ground when h(t) = 0

Substitute into the formula

0 = 144 - 16t²

-144 = -16t²

144 = 16t²

Swap

16t² = 144

t² = 144/16

t² = 9

Square root both sides

√t² = ±√9

t = ±3secs

<em>Since the time cannot be negative, hence the object will reach the ground 3 seconds after</em>

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