Question

observe the following graphs. can we compare the speed of these two motion? why?​

Answer 1

Yes , we can compare the speed of this to motions by calculating the slope of the distance-time graph.

For the 1st graph:

$\sf{ \therefore \: velocity = slope \: of \: distance - time \: graph}$

$\sf{ = > \: velocity = \dfrac{\Delta d}{\Delta t} }$

$\sf{ = > \: velocity = \dfrac{5 - 0}{1 - 0} }$

$\sf{ = > \: velocity = \dfrac{5}{1 } }$

$\sf{ = > \: velocity = 5 \: m \: {min}^{ - 1} }$

In the 2nd graph:

$\sf{ \therefore \: velocity = slope \: of \: distance - time \: graph}$

$\sf{ = > \: velocity = \dfrac{\Delta d}{\Delta t} }$

$\sf{ = > \: velocity = \dfrac{10 - 0}{1 - 0} }$

$\sf{ = > \: velocity = \dfrac{10 }{1 } }$

$\sf{ = > \: velocity = 10 \: m \: {min}^{ - 1} }$

So, velocity is higher in the second graph.

HOPE IT HELPS.