Motion along a straight line by a car

In summary, the conversation is about using function notation to express a question regarding the velocity of a car. The question asks for the time when the car is going 70 mph and the function notation being used is "v(t)". However, there is no defined variable for velocity, only for position (s(t)). Therefore, the answer would be s'(t) = 70, as velocity is the derivative of position.
  • #1
Nero1
1
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Part B of the following problem seems to be fairly straightforward, but I can't seem to understand it properly. I might be overthinking the problem entirely.

Would anyone be willing to help?
 

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  • #3
(b) asks you to "use function notation" to express the question "When is the car going 70 mph". On the left side of the equal sign you have "v(t)". Were you given that or did you choose it? Often "v(t)" is used to indicate the speed or velocity at time t but there is nothing in the problem that defines v(t). The only thing defined here is s(t). The speed, at time t, is the derivative of that, s'(t). I would answer s'(t)= 70.
 

FAQ: Motion along a straight line by a car

What is motion along a straight line by a car?

Motion along a straight line by a car refers to the movement of a car in a single direction without any change in direction or turning.

What factors affect the motion of a car along a straight line?

The motion of a car along a straight line can be affected by factors such as the car's speed, acceleration, friction, and external forces like wind resistance or gravity.

How is the motion of a car along a straight line measured?

The motion of a car along a straight line can be measured using various tools such as a speedometer, odometer, or GPS system. These tools measure the car's speed, distance traveled, and direction of movement.

What is the difference between speed and velocity in relation to motion along a straight line by a car?

Speed refers to the rate at which an object, in this case a car, is moving. Velocity, on the other hand, takes into account the direction of the car's movement as well as its speed. So, a car traveling at a constant speed but changing direction has a different velocity at each point of its motion.

How does Newton's first law of motion apply to a car's motion along a straight line?

Newton's first law of motion states that an object at rest will remain at rest and an object in motion will continue in motion with a constant velocity unless acted upon by an external force. This applies to a car's motion along a straight line as the car will continue moving in the same direction and speed unless an external force, such as friction or a change in speed, is applied to it.

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