Question

show by means of graphical method that :- V=U+AT
where the symbol have their usual meaning?

Answer 1

hello..

initial velocity of the object = u
object moving with uniform acceleration, a.
object reaches at point B
time, t
final velocity becomes, v

Draw line parallel to xaxis DA from D where object starts moving.

Draw another line BA from B parallel to y-axis
meets at E at y-axis.

Let OE = time, t

Now, as we had seen the graph,

BE = AB + AE

⇒ v = DC + OD (Since, AB = DC and AE = OD)

⇒ v = DC + u (Since, OD = u)

⇒ v = DC + u ------------------- (i)

Now, Acceleration (a) =Change in velocity/Time taken

⇒a=v−u/t

⇒a=OC−OD/t=DC/t

⇒at=DC -----(ii)

By substituting the value of DC from (ii) in (i) we get

v=at+uv=at+u

⇒v=u+at

(ii) These values have their particular name to derive equations or to write in answer or explanation

Answer 2

Answer:

v=u+at v=u+at v=u+at v=u+at v=u+at