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daser333 [38]
3 years ago
15

A particle initially located at the origin has an acceleration of = 2.00ĵ m/s2 and an initial velocity of i = 6.00î m/s. (a) Fin

d the vector position of the particle at any time t (where t is measured in seconds). ( t î + t2 ĵ) m (b) Find the velocity of the particle at any time t. ( î + t ĵ) m/s (c) Find the coordinates of the particle at t = 4.00 s. x = m y = m (d) Find the speed of the particle at t = 4.00 s. m/s
Physics
1 answer:
sleet_krkn [62]3 years ago
5 0

Answer:

a)

6t i + t² j m

b)

6 i + 2 t j m/s

c)

x = 24 m and y = 16 m

d)

10 m/s

Explanation:

Explanation is given in the attached document.

Download docx
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Answer:

Explanation:

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a = .92 m/s/s (NOT negative because you're speeding up)

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3 years ago
Suppose a 4.0-kg projectile is launched vertically with a speed of 8.0 m/s. What is the maximum height the projectile reaches?
eduard

Answer:

h = 3.3 m (Look at the explanation below, please)

Explanation:

This question has to do with kinetic and potential energy. At the beginning (time of launch), there is no potential energy- we assume it starts from the ground. There, is, however, kinetic energy

Kinetic energy = \frac{1}{2}mv^{2}

Plug in the numbers = \frac{1}{2}(4.0)(8^{2})

Solve = 2(64) = 128 J

Now, since we know that the mechanical energy of a system always remains constant in the absence of outside forces (there is no outside force here), we can deduce that the kinetic energy at the bottom is equal to the potential energy at the top. Look at the diagram I have attached.

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2 years ago
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A 12.8-kg monkey hangs from a cord suspended from the ceiling of an elevator. The cord can withstand a tension of 156N and break
Varvara68 [4.7K]

Answer:

2.4 m/s^2

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Explanation:

We are given that

Mass of monkey=12.8 kg

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