Answer:
The position of the particle is 6m
The velocity of the particle is 16 m/s in negative direction
The acceleration of the object is -40 m/s²
Explanation:
Given;
motion of the particle along a straight line as x = 6 + 4t² - t⁴
The position of the object when t = 2s
x = 6 + 4(2)² - (2)⁴
x = 6 + 16 - 16
x = 6m
The velocity of the object when t = 2s
Velocity = dx/dt
dx/dt = 8t - 4t³
when t = 2s
Velocity = 8(2) - 4(2)³
Velocity = 16 - 32
Velocity = -16m/s
Velocity = 16 m/s (in negative direction)
The acceleration of the object when t = 2s
Acceleration = d²x/dt² = 8 - 12t²
Acceleration = 8 - 12 (2)²
Acceleration = -40 m/s²
Answer:i'm pretty sure it was newton
Explanation:i search it up
Answer:
2. decreasing the distance of the space shuttle from Earth
Explanation:
To increase the gravitational force on a space shuttle, it is a good thing to decrease the distance of the space shuttle from the earth.
This is based on the Newton's law of universal gravitation which states that "the gravitational force between two bodies is a directly proportional to the product of their masses and inversely proportional to the square of the distance between them".
Mathematically;
F = 
G is the universal gravitation constant, it cannot be changed
m is the mass of the body
r is the distance
Since the distance is inversely proportional, is we reduce it, the value of the gravitational force will increase.
Answer:
A. The starting height of the ball
Explanation:
When we talk about controlled variables, we refer to the variable that should be kept the same throughout the experiment. The reason why we do this, is to limit anything else that is not being tested, that may affect the results of the experiment.
In the scenario given, the experiment is to see the relationship between the <u>initial height of a basketball</u> and the <u>height of its rebound bounce. </u>
So you the starting height of the ball should vary, meaning it is NOT controlled.
