Question

A car accelerates from rest on a straight road. A short time later, the car deccelerates to a stop and then returns to its original position slowing to a stop. HOW CAN ONE BEST PLOT A SKETCH OF THE POSITION -TIME GRAPH

Answer 1

what curve represents the plot of x(t) if the object is being accelerated with constant acceleration?

Answer 2

or can you tell me what is the general form of equation of x(t)?

Answer 3

ALL I know as of now is the behaviour of the car. Accelerating from rest means that the velocity is increasing, and the change in position is also positive, in the first quadrant. When the car stops, v =0, and the position time curve will be turning?But then , before he stops, he deccelerates, meaning that velocity was decreasing, and the p/t graph.

Answer 4

but I am not sure about the equation @Fifciol

Answer 5

I do not understand this part of the description:
"and then returns to its original position slowing to a stop"
isn't there anything missing here?

Answer 6

@Vincent-Lyon.Fr - this is the question , as is.

Answer 7

@Fifciol Are you also puzzled by this last bit?

Answer 8

@MERTICH
Have you tried drawing anything yet?

Answer 9

I want you to figure out the shape of the curve. What I meant was what is the shape of the curve x(t) when object moves with constant acceleration. \[x(t)=x_0+v_0t+\frac{ 1 }{ 2 } at^2\]
@Vincent-Lyon.Fr I think I know what he mean

Answer 10

It doesn't have to accelarate with constant a, but this assumption may help you a bit to figure how to draw the plot

Answer 11

oh, @Vincent-Lyon.Fr , you are right. A massive typo. its original position "BY SPEEDING UP TO A STOP. @Fifciol Yes, I know this equation very well. I just couldnt figure out where it will fit in the matter.

Answer 12

.....its original position, by speeding up and then slowing to a stop, @Vincent-Lyon.Fr

Answer 13

Can you draw the first part when car accelerates up to deccelaration starting point?

Answer 14

"by speeding up and then slowing to a stop"
Now this is clear. The was a missing step.

So, @MERTICH, what types of graphs do you know, and what kind of motion do they represent?
Please use the 'Draw' button to show us.

Answer 15

Easier question:
What would the graph look like if it was moving from zero to its return point with constant velocity?

Answer 16

i know the velocity time graph, the acceleration -time graph, and the position time graph

Answer 17

but getting it fro the acc/time graph is a challenge.

Answer 18

This is not my question: show us what the graph is for constant velocity!

Answer 19

acc -increase in velocity,decelaration means decrease in velocity, stops at v=0,

Answer 20

What I wanted you to draw is this:

That would be the graph if the first part and the second part of the motion were done at constant velocity.

Now, you should combine your graph and mine to get to the real one.

Answer 21

it goes back to the real original position

Answer 22

No because, this part would mean that the body overshoots its starting position, which is not stated in the question.