Answer:
0.061 J
Explanation:
The kinetic energy of an object is given by

where
m is the mass of the object
v is its speed
For the toy truck in the problem, we have
m = 0.1 kg is its mass
v = 1.1 m/s is its speed
Putting the numbers into the equation, we find

The position of the car at t=3.0s is 18m from the origin.
the starting point of a quantity at a certain time, let's say t = 0. This is referred to as receiving an "initial condition",
For a car on an amusement park ride, the velocity as a function of time is given by v=at² + bt with constants.
According to the equation above,
- A function of time's derivative is a constant.
- Time affects the velocity.
v = t² + 2t
Since v = dx/dt
dx/dt = t² + 2t
dx = t²dt + 2tdt
Integrating both sides [ integration{ a^nda } = a^(n+1) / (n+1) ]
So , int [ x⁰dx ] = int [ t²dt ] + 2 int [ t¹dt ] ,
Now,
x¹/1 = t³/3 + 2*( t²/2 )
x = t³/3 + t²
For t = s,
x = 3³/3 + 3²
x= 27/3 + 9 = 18 m .
Learn more about velocity here:
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It is called condensation
Answer:
$21,840
Explanation:
35 hours times 52 weeks - 1820 hours
1820 hours times 12 dollars = $21,840 before taxes