Answer:
Explanation:
Given that,
The position of a particle is given by :
Let us assume we need to find its velocity.
We know that,
So, the velocity of the particle is .
"For an object moving at a constant speed, we would expect to see a position graph with a
1 answer:
Explanation:
The speed of an object is given by the total distance divided by the total time taken.
The position of an object shows its location. If we draw a position- time graph for an object moving at a constant speed, it will look like the attached figure. It means that the object is moving at a steady rate. It is a straight line passing through origin.
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Answer:
After 12 seconds, the area enclosed by the ripple will be increasing rapidly at the rate of 1206.528 ft²/sec
Explanation:
Area of a circle = πr²
where;
r is the circle radius
Differentiate the area with respect to time.
dr/dt = 4 ft/sec
after 12 seconds, the radius becomes =
To obtain how rapidly is the area enclosed by the ripple increasing after 12 seconds, we calculate dA/dt
dA/dt = 1206.528 ft²/sec
Therefore, after 12 seconds, the area enclosed by the ripple will be increasing rapidly at the rate of 1206.528 ft²/sec