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Hitman42 [59]
3 years ago
12

A toy rocket travels at an initial velocity of 144 feet per second. The height of the rocket can be modeled by the function h(t)

-144t-16t^2 where t is the time in seconds. When will the rocket return to the ground?
Physics
1 answer:
PolarNik [594]3 years ago
5 0

Answer:

t = 4.5 second

Explanation:

A toy rocket travels at an initial velocity of 144 feet per second. The height of the rocket can be modeled by the function as follows :

h(t)=-16t^2+144t

t is time in seconds

We need to find the time when the rocket return to the ground.

When it reaches ground, h(t) = 0

So,

-16t^2+144t=0\\\\t(-32t+144)=0\\\\t=0\ \text{and} -32t+144=0\\\\t=0\ \text{and}\ t=4.5\ s

So, at 4.5 second the rocket will return to the ground.

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A truck is moving at 25.0 m/s and sees a barrier in the road 100 m ahead. The truck can decelerate at 4 m/s2. Will the truck hit
Nimfa-mama [501]

Answer:

No, the truck will not cross the barrier.

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As per the question:

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Acceleration of the truck, a = - 4 m/s^{2}

Now,

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Now,

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Thus the truck will not cross the barrier.

Distance between the barrier and the truck:

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6 0
4 years ago
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The volume of the cylindrical can is given by:

V = πr²h

V = volume, r = base radius, h = height

Differentiate both sides of the equation with respect to time t. The radius r doesn't change over time, so we treat it as a constant:

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Plug in and solve for dh/dt:

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The height of the water is decreasing at a rate of 2.62in/min

7 0
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