CBSE Class 10 Answered
a motorist take 10 seconds to cover a distance of 20 metres and 15 seconds to cover a distance of 8 mrs find the uniform acceleration of car and velocity at the end of 15 second
Asked by sateeshkumarjan14 | 12 May, 2019, 10:35: AM
Expert Answer
I assume initial speed of motor is u m/s, then the motor has travelled a distance 20 m at first 10 s
and moved a distance 8 m in next 15 seconds.
I also assume it is required to get acceleration a and speed after 15 seconds staring from initial time.
distance S travelled in first 10 s is given by, S = ut+(1/2)at2; 20 = 10u +(1/2)a×100 or u + 5a = 2 ..............(1)
speed v after 10 s is given by v = u+at ; v = u+10a
if 8 m distance is travelled in next 15 s, then 8 = (u+10a)15 + (1/2)a×225 or 15 u + (525/2)a = 8 ..................(2)
By solving eqn.(1) and eqn.(2), we get acceleration a = -44/375 m/s2 and u = 194/75 m/s
speed after 15 seconds, v = (194/75) -(44/375)×15 = 62/75 m/s = 0.83 m/s
Answered by Thiyagarajan K | 12 May, 2019, 12:24: PM
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