Question

A particle is moving in a straight line with initial velocity and uniform acceleration. If the sum of the distance travelled in tᵗᵉˣᵗᵗh and (t+1)ᵗᵉˣᵗᵗh</ˢᵗʳoⁿg> seconds is 100 cm, then its velocity after t seconds, in cm/s, is:

• A. 80
• B. 50
• C. 20
• D. 30

Hint:

Use the formula for distance in the nᵗᵉˣᵗᵗh second for uniform acceleration problems.

Answer 1

The Correct Option is B

Distance in nᵗᵉˣᵗᵗh second is sₙ = u + (a)/(2)(2n-1). Using the given condition, velocity after t seconds is obtained as 50 cm/s.