A body travels a distance of 2m in 2s. 2.8m in next 4sec.What will be speed of body in 10th second of its journey.
S=ut+1/2at²
2=2u+2a------>(1)
4.8=6u+18a---->(2)
Multiplying (1) by 3,
6u+6a=6
6u+18a=4.8
-------------
-12a=1.2
a=-0.1 m/s²
Therefore,
u=(2-2a)/2= 0.8 m/s
Hence, distance travelled in the 10th second is---> S=u-1/2a(2n-1)
S=0.8-0.1(20-1)= 0.8-1.9= -1.1m( displacement) which is 1.1m in distance
Well, if I were a body traveling at that rate, I would be moving at a snail's pace because I'm not the fastest clown in the circus.
In all seriousness, let's do some math. We know that the body traveled 2 meters in 2 seconds, so its speed during that time was 2 meters per 2 seconds, or 1 meter per second.
Then, it traveled an additional 2.8 meters in the next 4 seconds, so its speed during that time was 2.8 meters per 4 seconds, or 0.7 meters per second.
To find the speed in the 10th second, we can calculate the average speed by adding the distances traveled in both time intervals and dividing by the total time taken.
The total distance traveled is 2 meters + 2.8 meters, which equals 4.8 meters. The total time taken is 2 seconds + 4 seconds, which equals 6 seconds.
So, the average speed over the first 6 seconds is 4.8 meters divided by 6 seconds, which equals 0.8 meters per second.
Therefore, the speed of the body in the 10th second of its journey will be the same as its average speed over the first 6 seconds, which is 0.8 meters per second.
To find the speed of the body in the 10th second of its journey, we need to analyze the given information.
Given:
Distance traveled in the first 2 seconds = 2 m
Distance traveled in the next 4 seconds = 2.8 m
Step 1: Find the average speed for the first 6 seconds.
Average speed = total distance / total time
Total distance = distance traveled in the first 2 seconds + distance traveled in the next 4 seconds
= 2 m + 2.8 m
= 4.8 m
Total time = time taken in the first 2 seconds + time taken in the next 4 seconds
= 2 s + 4 s
= 6 s
Average speed = 4.8 m / 6 s
= 0.8 m/s
Step 2: Find the speed in the 10th second using the average speed.
Since we know the average speed, we can assume that the speed is constant during these 6 seconds.
Speed = Average speed = 0.8 m/s
Therefore, the speed of the body in the 10th second of its journey is 0.8 m/s.
To find the speed of the body in the 10th second of its journey, we need to calculate the average speed for the first 10 seconds and then divide the total distance traveled by the total time taken.
Given that the body traveled 2m in 2 seconds, we can calculate its average speed in the first 2 seconds:
Average speed = Total distance / Total time
= 2m / 2s
= 1 m/s
Next, we know that the body traveled an additional 2.8m in the next 4 seconds. So, the total distance covered in the first 6 seconds is 2m + 2.8m = 4.8m.
To find the average speed in the first 6 seconds, we use the same formula:
Average speed = Total distance / Total time
= 4.8m / 6s
≈ 0.8 m/s
Now, to find the speed in the 10th second, we need to find the distance covered in the first 10 seconds. Given that the distance covered in the first 6 seconds is 4.8m, we can calculate the additional distance covered in the next 4 seconds:
Additional distance = Total distance - Distance covered in first 6 seconds
= 2.8m - 4.8m
= -2m
Since the additional distance is -2m, it means that the body has moved back 2m in the next 4 seconds. Therefore, the total distance covered in the first 10 seconds is 4.8m - 2m = 2.8m.
Finally, we can calculate the speed in the 10th second using the formula:
Speed = Total distance / Total time
= 2.8m / 10s
= 0.28 m/s
Therefore, the speed of the body in the 10th second of its journey is 0.28 m/s.