A particle moves along a straight line with equation of motion s = f(t), where s is measured in meters and t in seconds. find the velocity and speed when t = 6. f(t) = 100 + 60t − 4.5t2

Answers

Answer 1
Answer:

As the particle moves along a straight line, the magnitude of the velocity is equal to the speed and the direction is along the direction of motion.

To find out the speed of the particle, we have to differentiate the given equation of motion. That is,

Speed = (d(s))/(dt) \n =(d(100+60t-4.5t^(2)))/(dt) \n =0+60-9t

For t=6 s, we get

Speed = 60₋ 9 × 6 = 60₋54=6 m/s

The speed of the particle at t=6 s is 6 m/s.


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What is the largest speed this projectile can have without causing the cable to break?

Answers

What projectile ?
What cable ?

Sarai strolls to the right with an average speed of 1.2m/s for 1500 seconds. What was Sarai's displacement in meters?

Answers

Sarai's displacement in meters will be 1800 when it strolls to the right with an average speed of 1.2m/s for 1500 seconds.

What is speed?

Speed is defined as the ratio of the distance moved by the object at a particular time. The unit of speed is measured in the meter per second, miles per hour, etc.

Average velocity is defined as the sum of all the distances traveled by an object to the time taken by the object to cover the total distance.

Given that Sarai strolls to the right with an average speed of 1.2m/s for 1500 seconds.

To calculate the distance traveled by the object convert the velocity formula into the form of the distance formula then solve for the value of distance.

Velocity = Distance / time

1.2 = Distance / 1500

Distance = 1.2 x 1500= 1800 meters

Therefore, Sarai's displacement in meters will be 1800 when it strolls to the right with an average speed of 1.2m/s for 1500 seconds.

To know more about Average speed  follow

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Answer:

1800m

Explanation:

rearrange speed= distance/time

to distance=time*speed

1.2*1500=1800

A lithium oxide compound is represented by which formula?

Answers

Li2O is the molecular formula for lithium oxide.

the answer is Li2O

good luck

Which statement about motor development is true? a.Motor skills are interrelated. "
b.Motor skills are separate, innate abilities. "
c.Children acquire motor skills on a fixed maturational timetable.
d.Children acquire motor skills in the sequence implied by motor norms.

Answers

Answer:

(a) Motor skills are interrelated.

Explanation:

As per the question,

Motor development:

It is defined as the development of movement abilities such as the development of a child's bones, muscles and ability to move around and manipulate his or her environment.

Importance of a Motor Development Model  are:

(1) Helps us make sense of developmental changes

(2) Provides a framework for observing the change

(3) Helps us include important factors of motor behavior in our observations.

Hence, Only option (a) is correct.

A bear is sitting at rest on a tricycle. The bear then starts to accelerate uniformly at a rate of 2.5 m/s2 (meters per second square). How long will it take the bear to reach a velocity of 15 m/s (meters per second)

Answers

Answer:

6.0 s

Explanation:

Given:

u = 0 m/s

v = 15 m/s

a = 2.5 m/s²

Find: t

v = u + at

15 = 0 + (2.5) t

t = 6.0 s

How do the speeds v0, v1, and v2 (at times t0, t1, and t2) compare?a: v0 = v1 = v2 > 0
b: v0 = v2 > v1 = 0
c: v0 = v2 > v1 > 0
d: v0 > v1 > v2 > 0
e: v0 > v2 > v1 = 0

Answers

The correctanswer between all the choices given is the third choice or letter C. I amhoping that this answer has satisfied your query and it will be able to helpyou in your endeavor, and if you would like, feel free to ask another question.

Answer: option c: v₀ = v₂ > v₁ > 0

Explanation:

1) Velocity is the rate of change of the position with time. Therefore, in a graph of position vs time, the velocity is the slope of the path that describes the motion.

2) In this case you are requested to compare the speeds, i.e. just the magnitudes of the velocities. You can perform that by comparing the slopes in the three positions (x₀, y₀), (x₁, y₁), and (x₂, y₂).

3) Regarding v₁, since it corresponds to the peak of the curve (x₁.y₁), the vertical component of the velocity is zero (the horizontal component is constant, since there is not any horizontal force acting), so at this point the speed reaches its minimum value, then v₁ > 0, and v₁ is less than any other speed.

4) Regarding v₀ and v₂, at (x₀, y₀) and (x₂, y₂), note that those are points at the same distance from the axis of symmetry of the curve (assuming it is perfect parabola, which is what the graph intends to show).

That means that the velocities at those points are equal in magnitude but opposite in signs. Since, you are asked about the speed, which is magnitude, you conclude v₀ = v₂.

In conclusion v₀ = v₂ > v₁ > 0, which is the option c.