A car traveling due west on a straight road accelerates at a...

A car traveling due west on a straight road accelerates at a constant rate for 15 seconds increasing its velocity from 0 to 30 m/s. It then travels at a constant speed for 15 seconds and then decelerates at a steady rate for the next 5 seconds to a velocity of 15 m/s. It travels at this velocity for 5 seconds and then decelerates rapidly to a stop in a time of 2 seconds. a) Sketch a graph of the car's velocity versus time for the entire motion just described. Label the axes of your graph with the appropriate velocities and times. b) Sketch a graph of acceleration versus time for the car c) Does the distance traveled by the car continually increase in the motion described?

Transcript

00:01 Hi guys, now in this one, a car traveling due waste on a straight road accelerate at a constant rate for 15 seconds, increasing its velocity from 0 to 13 meter per second.

00:14 Now, there is a possibility, i mean, there is no boundary in the direction of this speed here.

00:22 It's saying what in due in waste.

00:24 You can also say that it will be inward, uh, east direction.

00:30 Direction, west direction, north direction and south direction and what do you do? you assume that that direction is a positive direction for our relaxation.

00:39 So what i'm going to do here? this is a car and this car is moving from 0 to 0 to this is 0.

00:53 This is an acceleration here a.

00:56 This moves there.

00:59 This is v is equal to 30 meter per second.

01:05 And the total time taken to reach this will work.

01:07 15 second for next 5 second it travels with the constant i mean it then travels at a constant speed for 15 seconds for another 15 second it travels with a constant speed 30 meters per second and then de -accelerate for t is equal to 5 second this is equal to 5 second i don't know what is the speed at this point this one is given to us this is what this is d x up to a speed of v -dash this is what 15 meter per second and then travel with a constant speed again for t is equal to 5 second and then again de -accelerate 4 t is equal to 2 second so if you are drawing a graph y and x -axis this is what this is a velocity and time graph now what i did here see from 0 toward 30 this is look like this one this speed is increasing so, this will be equal to what, this is 30 meter per second.

02:21 Now, it accelerated for constant.

02:25 This time is what 15 seconds...

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