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jasenka [17]
4 years ago
5

If a ball is given a push so that it has an initial velocity of 5 m/s down a certain inclined plane, then the distance it has ro

lled after t seconds is given by the following equation. s(t) = 5t + 2t2 (a) Find the velocity after 2 seconds.
Physics
1 answer:
iren [92.7K]4 years ago
4 0

Answer:

v= 13 m/s

Explanation:

Velocity is defined as the derivative of displacement with respect to time

v= ds/dt

Known data

s(t) = 5t + 2t²  : distance that the ball has rolled after t seconds

vi= 5 m/s : initial velocity

t= 2 s

Problem develoment

s(t) = 5t + 2t²

v= ds/dt= 5 + 4t : velocity of the ball in function of the time

We replace t =2 s in the equation of velocity

v= 5 + 4(2)

v= 13 m/s : velocity after 2 seconds

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An airplane takes off a runway at a constant speed of 49m/s at constant angle 30 to the horizontal
joja [24]

Complete Question

An airplane takes off a runway at a constant speed of 49 m/s at constant angle 30 to the horizontal.How high (in meters )  is the airplane above the ground 13 seconds after takeoff?

Answer:

The height  is H  =  318.5 \ m

Explanation:

From the question we are told that

   The speed at which the plane takes off is  u = 49 \ m/s

      The angle at which it takes off is  \theta  =  30 ^o

        The time taken is t =  13  s

The vertical distance traveled is  mathematically represented as

          H  =  u sin  \theta  t

Substituting values  

         H  =  (49) * sin (30) *13

        H  =  318.5 \ m

6 0
3 years ago
What is the momentum of a 3.5-kilogram object moving with a velocity of 6 m/s east?
Ghella [55]
Momentum formula - P=MV
P=MV
P= (3.5 kg)(6 m/s) - multiply
P= 21 kg x m/s to the east
Hope this helps

3 0
3 years ago
The minimum frequency of light needed to eject electrons from a metal is called the threshold frequency, ???? 0 ν0 . Find the mi
Allisa [31]

Answer:

<h2>E = 2.8028*10⁻¹⁹ Joules</h2>

Explanation:

The minimum energy needed to eject electrons from a metal with a threshold frequency fo is expressed as E = hfo

h = planck's constant

fo = threshold frequency

Given the threshold frequency fo = 4.23×10¹⁴ s⁻¹

h = 6.626× 10⁻³⁴ m² kg / s

Substituting this value into the formula to get the energy E

E = 4.23×10¹⁴ *  6.626 × 10⁻³⁴

E = 28.028*10¹⁴⁻³⁴

E = 28.028*10⁻²⁰

E = 2.8028*10⁻¹⁹ Joules

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4 years ago
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3 years ago
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The line-emission spectrum of an atom is caused by the energies released when electrons
Paul [167]

Answer:

makes a transition from a high to a lower energy state

Explanation:

The emission spectrum is the spectrum of electromagnetic radiation emitted due to the transition from a state of high energy to a state of lower energy made by an electron in the atoms of the chemical element or compound. The emitted photons have an energy equal to the difference in energy between the two states.

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4 years ago
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