a car’s velocity as a function of time is given by

a car’s velocity as a function of time is given by

question :

A car’s velocity as a function of time is given by v _ { x } ( t ) = \alpha + \beta t ^ { 2 }, where \alpha = 3.00 \mathrm { m } / \mathrm { s } and \beta = 0.100 \mathrm { m } / \mathrm { s } ^ { 3 }. (a) Calculate the average acceleration for the time interval t = 0 to t = 5.00 s. (b) Calculate the instantaneous acceleration for t = 0 and t = 5.00 s. (c) Draw v _ { x } – t and a _ { x } – t graphs for the car’s motion between t = 0 and t = 5.00 s.

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F.A.Q a car’s velocity as a function of time is given by

How does the speed of the automobile change throughout the course of a certain amount of time?

The equation for the car’s speed as a function of time is as follows:
The formula for calculating the velocity of an automobile as a function of time is vx(t)=+t2, where = 0.100 m/s3 and = 3.00 meters per second.

Is the relationship between velocity and location one that changes throughout time?

Integration allows for the construction of a location as a function of time when a certain velocity function, denoted by the notation v (t) v(t) v(t), is provided. After that, one may create a position-time graph by, in the customary manner, charting x (t) x(t) x(t) as a function. x (t) x(t) x(t)

What is a good illustration of the speed of a car?

Take for example an automobile going in a northerly direction along a highway at a speed of 20 meters per second relative to the surface of the road. When you are behind the wheel of the vehicle, the velocity of the vehicle in relation to your body is equal to zero. If you were to stop at the side of the road, the velocity of the automobile in relation to you would be 20 meters per second in the northerly direction.

How has the car’s speed changed during the last several seconds?

The pedal that depresses the accelerator, the pedal that depresses the brakes, and the steering wheel are the three controls that may vary the speed of an automobile. If either the speed or the direction changes, then the velocity will also change.

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