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ASHA 777 [7]
2 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]2 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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Elis [28]

Question 4

<h3>Answer: Choice D</h3>

Explanation:

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We have a right triangle with legs of 8 and 6 units. The pythagorean theorem will help us determine the hypotenuse is 10. Therefore, the vector length is 10 units and we would say ||v|| = 10. We have a 6-8-10 right triangle.

===========================================================

Question 5

<h3>Answer: Choice B</h3>

Explanation:

Vector v starts at (2,5) and ends at (-3,-2).

The x component of the vector is x2-x1 = -3-2 = -5 meaning we move 5 units to the left when going from the start point to the endpoint.

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Now let's use the arctangent function to find the angle

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6 0
2 years ago
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nexus9112 [7]

Answer: 1

<u>Explanation:</u>

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Step-by-step explanation:

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Answer:

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