1.

2. Find a quadratic polynomial each with the given numbers as the sum and product of itszeroes respectively.7:-1(i) 0, V5(iv) 1,1(v) - 24(vi) 4,1​

Answer»

LET the initial velocity of the body be u m/s; and the constsnt acceleration be a m/s². Then displacemet (distance covered) of the body after t second is given by

s = u t + ½ a t² ———————————-(1)

The body covers 20 m in 2s and 80 m in 4 s.

20 = u×2 + ½ a 2²; => 20 = 2 u + 2 a

u + a = 10 —————————————(2)

80 = u×4 + ½ a 4²; => 80 = 4 u + 8 a; this GIVES,

u + 2 a = 20 ——————————————(3)

Solving (2) and (3) for u and a we get

u = 0 m/s and a = 10 m/s² ————————(4)

To obtain the distance covered in the NEXT 4s we need to find the velocity at the beginning of this interval using,

v = u + a t => v = 0 m/s + 4


Discussion

No Comment Found

Related InterviewSolutions