Advertisements
Advertisements
Question
Obtain a relation for the distance travelled by an object moving with uniform acceleration in the interval between 4th and 5th seconds.
Advertisements
Solution
Let the object be moving with initial velocity u ms−1 and uniform acceleration an ms−2
∴ The distance travelled by the moving object
in ts is, s = `"ut" + 1/2 "at"^2`
Now distance travelled in 4s,
s4 = `"u" xx 4 + 1/2 "a" xx 4^2`
= 4u + 8a
Distance travelled in 5s
s5 = `"u" xx 5 + 1/2 "a" xx 5^2`
= `5"u" + 25/2 "a"`
∴ Distance travelled in the interval between 4th and 5th second
= `(5"u" + 25/2 "a") - (4"u" + 8"a")`
= `("u" + 9/2"a")"m"`
APPEARS IN
RELATED QUESTIONS
Fill in the following blank with suitable word :
Displacement is a…………………… quantity whereas distance is a………………………….
Clarify the difference.
Distance and displacement
What information about the motion of a body are obtained from the displacement-time graph?
From the displacement-time graph of a cyclist given below in the Figure, find The displacement from the initial position at the end of 10 s,
Figure given below shows a velocity-time graph for a car starting from rest. The graph has three parts AB, BC and CD.
State how is the distance travelled in any part determined from this graph .
Can you suggest the kind of motion of a body from the following distance – time graph?
The table below shows the distance travelled by two vehicles A and B during each second:
| Time (s) | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
| Distance travelled by A (m) | 0 | 20 | 80 | 180 | 240 | 300 | 360 | 420 |
| Distance travelled by B (m) | 0 | 10 | 40 | 90 | 160 | 250 | 360 | 490 |
At what time do A and B meet?Which vehicle is moving with a constant acceleration?
Geetha takes 15 minutes from her house to reach her school on a bicycle. If the bicycle has a speed of 2 m/s, calculate the distance between her house and the school.
The SI unit of displacement is ______.
An object is dropped from rest at a height of 150 m and simultaneously another object is dropped from rest at a height of 100 m. What is the difference in their heights after 2s if both the objects drop with the same accelerations? How does the difference in heights vary with time?
