Question

A three-wheeler starts from rest, accelerates uniformly with 1m/s^2 on a straight road for 10 s, and then moves with uniform velocity. Plot the distance covered by the vehicle during the n second (n 1,2.3.... versus n. What do you expect this plot to be during accelerated motion : a straight line oř a parabola ?

Answer 1

Straight line
Distance covered by a body in nth second is given by the relation
Dn = u + a (2n – 1)/2     ….(i)
Where,
u = Initial velocity
a = Acceleration
n = Time = 1, 2, 3, ….. ,n
In the given case,
u = 0 and a = 1 m/s2
∴ Dn = (2n – 1) / 2     ….. (ii)
This relation shows that:
Dn ∝ n … (iii)...

Now, substituting iii)...
we get the following table..

(I can't do the table properly pardon me for that.. Also the table.. try to do it on your own... you'll learn!)..

And after drawing the table.... make a graph on that...
that's easy you can do it...

so... hope this helps you out... if it's kinda wrong... or something wrong with my calculation.. pardon me!