A driver at Dewaan Motors is testing a new model car with a speedometer calibrated to read m/s rather than km/h. The following series of speedometer readings was obtained during a test run along a long, straight road:
Time (s) 0 1 3 5 7 9 11 13 15 17 19
Speed (m/s) 0 0 4 7 10 13 17 22 23 26 29
(a) Compute the average acceleration during each 2-s interval. Is the acceleration constant? Is it
constant during any part of the test run?
(b) Make a (v-t) graph of the data, using scales of 1cm = 1s horizontally and 1cm = 2m/s
vertically. Draw a smooth curve through the plotted points. By measuring the slope of your
curve, find the instantaneous acceleration at t = 6 s, 18 s, and 25 s.
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7 On 1-4-2013, Brij and Nandan entered into partnership to construct toilets
government schools in the remote areas of Uttarakhand. They contributed
capitals of 10,00,000 and 15,00,000 respectively. Their profit sharing ratio was
2;3 and interest allowed on capital as provided in the Partnership Deed was 12% per
annum. During the year ended 31.3.2014, the firm earned a profit of 2,00,000.
Prepare Profit and Loss Appropriation Account of Brij and Nandan for the year
ended 31.3.2014.
(C.B.S.E. 201
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