Question
Which of the following graphs gives the equation
Which of the following graphs gives the equation
$$x = {v_0}t + \frac{1}{2}a{t^2}$$
A.
B.
C.
D.
None of these
Answer :
Solution :
given $$x = {V_0}t + \frac{1}{2}a{t^2}$$
$$\eqalign{ & \frac{{dx}}{{dt}} = {V_0} + \frac{1}{2} \times a \times 2t = {V_0} + at \cr & \Rightarrow V = {V_0} + at \cr} $$
so, option (C) represents the correct graph.
given $$x = {V_0}t + \frac{1}{2}a{t^2}$$
$$\eqalign{ & \frac{{dx}}{{dt}} = {V_0} + \frac{1}{2} \times a \times 2t = {V_0} + at \cr & \Rightarrow V = {V_0} + at \cr} $$
so, option (C) represents the correct graph.
