Answer:
The y-component of the car's position vector is 670m/s.
The x-component of the acceleration vector is -3, and the y-component is 40.
Explanation:
The displacement vector of the car with velocity

is the integral of the velocity.
Integrating
we get the displacement vector
:

Now if the initial position if the car is

then the displacement of the car at time
is


Now at
, we have

The y-component of the car's position vector is 670m/s.
The acceleration vector is the derivative of the velocity vector:

and at
it is

The x-component of the acceleration vector is -3, and the y-component is 40.
Answer:
Changes in the object's momentum (answer D)
Explanation:
A net force will cause an object to change its velocity, and that will affect the object's momentum, which is defined by the product of the object's mass times its velocity.
So, select the last option (D) in the given list.
Answer:
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Explanation:
Answer:
b. Research projects for a specific cause
Explanation:
Research funded by private foundations are usually for a specific cause. These type of research are usually properly scrutinized, and must have a high probability of success. Most of these projects may not be to benefit the consumers, but are usually done with a special purpose in mind.
Answer:
4 seconds
Explanation:
Average acceleration is change in velocity over change in time:
a = Δv / Δt
Δt = Δv / a
Δt = (15 m/s - 5 m/s) / 2.5 m/s²
Δt = 4 s