Question

A particle starts with a initial velocity of 8m/sec and moves along a straight line .its acceleration at any time t after start, is given by the expression a-bt where a and b are constants. determine the equation for displacement , if the particle covers a distance of 40m in 5sec and stops.

Answer 1

Answer:

at t=5 , v=0.

put this in eqn of v. you'll get eqn 1 in a and b

at t=5, x= 40

put it in eqn of x, u get eqn 2 in a and b.

solve eqn 1 and 2 to get a,b and substitute them in eqn 2.

you get expression for x

Answer 2

diagonal across a square with sides of one unit of length; this follows the Pythagorean theorem. It was probably the first number known to be irrational.[citation needed]

As a good rational approximation for the square root of two, with a reasonably small denominator, the fraction 99/70 (≈ 1.4142857) is sometimes used.

The sequence A002193 in the OEIS consists of the digits in the decimal expansion of the square root of 2, here truncated to 65 decimal places: