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 .
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Answer:
Explanation:
A block is moving with constant velocity action the action of 3 N force.
Statement A: False, as the block is moving with constant velocity so net force is zero.
Statement B: False, as the net force is zero.
Statement C: True, the friction force is equal to the applied force.
Statement D: True: The net force is zero so that the block is moving with constant velocity.
Statement E: True, the net force is zero so the acceleration is also zero.
PE = mass * gravity * height
PE = 15 * 9.81 * 1.2
PE = 176.58 J
Answer:
A- The ball has both kinetic and potential energy,
Explanation:
kinetic energy by virtue of its motion.
potential energy by virtue of its position. (It could roll off the edge of the tabel and convert gravity potential energy to kinetic energy)
