Question

Displacement - velocity relation​

Answer 1

Answer:

v² = u² + 2as

Explanation:

According to the above figure

s = area of trapezium ODBE

= ½(BE + OE) × OE

Now, OD = u, BE = v and OE = t

Therefore, s = ½(v + u) × t

Now, a = (v - u)/t ...(1)

Therefore, t = (v - u)/a. ...(2)

Therefore, From equations (1) and (2), we have,

s = ½(v - u) [(v - u)/a]

Therefore, 2as = v² - u²

Therefore, v² = u² + 2as ...(third kinematical equation)

Hope it helps :)

Answer 2

Answer:

• Velocity = displacement/time whereas speed is distance/time.

Explanation:

position-time. The displacement of a moving object is directly proportional to both velocity and time. ... "Displacement is directly proportional to time and directly proportional to velocity, which is directly proportional to time." Time is a factor twice, making displacement proportional to the square of time.