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A body covers 200cm in first 2 sec and 220 cm in next 4sec .what is the velocity after 7(th) second.
let initial velocity = u & accleration is a then distance travelled in 4 sec = S6 using , s=ut + at2/2 S6 = 4u + a36/2 = 6u+18a distance covered in 2 sec = S2 = 2u + 4a/2 =2u+2a = 200 (given) u+a = 100 ........................1 now distance covered in 2 to 6 sec is given 220cm S6-200 = 220 6u + 18a = 420 u+3a = 70 .................2 from 1& 2 a = -15 & u=115 velocity after 7 sec = V7 V7 = u + at =115 - 15*7=10cm/sec
let initial velocity = u & accleration is a then
distance travelled in 4 sec = S6
using , s=ut + at2/2
S6 = 4u + a36/2
= 6u+18a
distance covered in 2 sec = S2 = 2u + 4a/2
=2u+2a = 200 (given)
u+a = 100 ........................1
now distance covered in 2 to 6 sec is given 220cm
S6-200 = 220
6u + 18a = 420
u+3a = 70 .................2
from 1& 2
a = -15 & u=115
velocity after 7 sec = V7
V7 = u + at
=115 - 15*7=10cm/sec
Let the initial velocity be u and the accelaration be f.For the motion of 200cm we have 200=u+1/2f(2)^2 and for 220cm we have 220=u+1/2f(6)^2..Solve those two equations and get the values of u and f..Then for distance covered in 7th sec apply the formula s=u+1/2f(2t-1).
A stone is dropped from a height of 19.6 m what is the time taken by the stone to travel the metre of the path
Since the stone is dropped from a height of 19.6 mIt`s initial velocity(u)=0m/s ,. S=19.6mAnd acceleration(a)=9.8m/s^2According to 2nd equation of motionS=ut +1/2 a t^219.6= 0×t + 1/2 × 9.8 × tOr, 19.6= 4.9tTherefore t = 19.6/4.9 = 4Hence the time taken by stone =4 seconds
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Dear Student,Please find below the solution to your problem.let initial velocity = u & accleration is a thendistance travelled in 4 sec = S6using , s=ut + 0.5at^2 S6 = 6u + 0.5*a*36 = 6u+18adistance covered in 2 sec = S2 = 2u + 4a/2 =2u+2a = 200 (given) u+a = 100 …......(1)now distance covered in 2 to 6 sec is given 220cm S6-200 = 220 6u + 18a = 420 u+3a = 70 .................(2)from 1& 2a = -15 & u=115velocity after 7 sec = V7 V7 = u + at =115 - 15*7 =10cm/secThanks and Regards
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