00:01
In this question it is given a bus driver heads towards south with speed v1 equals to 22 meter per second for time t1 equals to 3 minute then he makes right turn and travel with speed v2 equals to 25 meter per second for time t2 goes to 2 .8 minute and then drives north -west at a speed v3 equals to 30 meter per second for time t3 goes to 1 minute so, in this question we have to find displacement and direction in degrees south or west and in b part we have to find average velocity and direction.
00:39
So let distance travel towards south is equals to s1 in figure you can see distance travel towards right equals to s2 and distance travel towards northward equals to s3.
00:52
So see in these questions all distance are traveled with constant speed so directly we can calculate s1, s2, s2, s3 equals to speed into time.
01:03
So, s1 value will come equal to s1 equals to v1 t1.
01:13
So, v1 value is given 22 meter per second multiply by 3 minute.
01:20
So we have to convert into second by multiplying 60.
01:23
So s1 value will come 3960 meter.
01:29
Similarly we can calculate s 2 equals to v2 t 2 so v2 value is given 25 multiply by t 2 is given 2 .8 minute so multiply by 60 so s 2 value will come equal to 4 to double 0 meter and s 3 will come equal to 3 3 3 3 so v 3 is given 30 meter per second multiply by 1 multiply by 60.
02:06
So it will come 1 ,800 meter.
02:13
Now we have to calculate displacement.
02:15
So in figure we can see that displacement is what ad? so for calculating ad first we have to calculate de and ae then by applying pythagoras theorem we can apply we can get ad.
02:30
So, what is value of de? so, for de, see, de will be equal to df plus ef.
02:47
So, ef value we know it is equal to s2, ef will be equal to s2, which will be equals to 4200 meter and df will be equal to s3, s3, sign.
03:12
45.
03:14
So, d .f will come equal to s3 sign 45.
03:17
So, s3 is 1800, sine 45 is 1 by root 2.
03:23
So, df value will come equals to 1 to 772 .8 meter.
03:33
So from here we will get d value equals to 42 double 0 plus 1 2.
03:45
7 .2 .8 so it will come equal to 5472 .8 meters.
03:56
Now we have to calculate ae value.
04:01
So how we can calculate ae? a .e will be equal to ab minus e b.
04:07
Ab minus e b.
04:10
A .e equals to ab minus a b.
04:19
A .e so, ab value we know it is equals to s1 and s1 is 3960, 3960 and b e equals to cf, okay, b will be equals to cf and cf will be equals to 1800 cost 45.
04:51
Now when we put these value, so ae value will come equal to 2687...