1.

A car starting from rest, accelerates at a rate of 2 m s^(-2) for 5 s. For this journey, (a) draw the velocity-time graph (b) draw the displacementtime graph using the velocity-time graph in part (a).

Answer»

Solution :(a) Given, u = 0, a = 2 m `s^(-2)`.
The velocity of car at different instants is given in the table below:

Fig . 2.30 SHOWS the velocity time graph.

(b) From Fig. 2.30, the displacement of car at any instant can be obtained by FINDING the area enclosed by the straight line with the time axis up to that instant.
At t= 1 s, displacement `S= (1)/(2) xx1 xx2=1 ` m
At t= 2 s, displacement `S= (1)/(2) xx2xx4 =4 `m
At t=3, s displacement `S= (1)/(2) xx4xx8 = 16 m`
At t = 4 displacement `S=(1)/(2)xx4xx8 = 16 m `
At t = 5 displacement `S= (1)/(2) XX5 xx10 = 25` m

The displacement time graph i show in Fig 2.31


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