Question

the initial velocity of a body moving along a straight line is u it has a uniform acceleration of 6 metre per second square the distance covered by the body in the 6th second of its motion is 41 m .the value of U is​

Answer 1

Explanation:

Answer is in the image check it

Answer 2

The value of initial velocity, u is 8 m/s.

Given,

Uniform acceleration, a = 6 m/s

distance covered at sixth second, s = 41 m

To Find,

initial velocity, u=?

Solution,

We can solve this problem using the equations of motion.

We have been given the distance covered at the 6th second of the body, s

⇒ s = s6 - s5

According to equations of motions, the distance covered by a body in t seconds with a uniform acceleration u is given by:

s = ut + 1/2 at^2

Therefore, the equation of the distance covered at the sixth second therefore becomes:

⇒ s = u×(6) + 1/2 (6)×(6)^2 - u×(5) - 1/2 (6)×(5)^2

⇒ 41 = 6u + 3×36 - 5u - 1/2 a×25

⇒ 41 = u + 108 - 75

⇒ 41 = u + 33

⇒ u = 41 - 33

⇒ u = 8 m/s

#SPJ3