Name: Old Methods of Measurement
Uploaded: 2019-07-19
Duration: 4 min 35 s
Description: Even when technology was not so developed, human beings were creative enough to find ways and means to meet their needs. Come, let’s study some unconventiona...

Question

Distance $(m)$	$3$	$6$	$9$	$12$	$12$	$12$	$6$	$0$
Time $(s)$	$0$	$1$	$2$	$3$	$4$	$5$	$6$	$7$

From the given table, plot the distance-time graph. From the graph calculate:

(i) The average speed between $0 - 3 s$ .

(ii) The average speed between $3 s - 5 s$ .

(iii) The average speed between $5 s - 7 s$ .

Accepted Answer

Given table:

Distance $(m)$ $6$ $9$ $12$ $12$ $12$ $6$ $0$ $0$

Time $(s)$ $1$ $2$ $3$ $4$ $5$ $6$ $7$ $7$

The plot for the given table is as below:

The average speed for a certain time is the ratio of distance travelled in that time period, $v_{avg} = \frac{d_{t}}{t}$

The distance between $0 - 3 s$ is $d_{t} = 12 - 3 = 9 m$

The time period, $t = 3 - 0 = 3 s$ , with this given time interval we can see a body moving with uniform speed.

Average velocity, $v_{avg} = \frac{9}{3} = 3 m s^{- 1}$

Hence the average speed between $0 - 3 s$ is $12$ .

The distance between $3 s - 5 s$ is $1$

The time period, $t = 5 - 3 = 2 s$

During this time interval, the graph is parallel to the time axis the body is stationary.

Average velocity, $v_{avg} = \frac{0}{2} = 0 m s^{- 1}$

Hence, the average speed between $3 s - 5 s$ is $0 m s^{- 1}$ .

The distance between $5 s - 7 s$ is $d_{t} = 0 - 12 = - 12 m$

The time period, $t = 7 - 5 = 2 s$

The graph during this time interval is straight, which means distance is directly proportional to time.

Average velocity, $v_{avg} = \frac{- 12}{2} = - 6 m s^{- 1}$

Hence, the average speed between $5 s - 7 s$ is $- 6 m s^{- 1}$

Important Questions on Motion

Learn and Prepare for any exam you want !

Velocity $(m / s)$	20	20	10	20	0
Time $(s)$	0	5	7	10	15

Velocity $(m / s)$	20	20	10	20	0
Time $(s)$	0	5	7	10	15

Velocity $(m / s)$	20	20	10	20	0
Time $(s)$	0	5	7	10	15

Velocity $(m / s)$	20	20	10	20	0
Time $(s)$	0	5	7	10	15

Distance m 3 6 9 12 12 12 6 0 Time s 0 1 2 3 4 5 6 7 From the given table, plot the distance-time graph. From the graph calculate: (i) The average speed between 0-3 s. (ii) The average speed between 3 s-5 s. (iii) The average speed between 5 s-7 s.

Important Questions on Motion

Learn and Prepare for any exam you want !