Question

An object moves with uniform acceleration. It moves with a velocity of 24 m/s and gains a velocity 36 m/s in 4 s. Which of the following statements is correct regarding the motion time graph of the object? 

(A) The v-t graph of the object is a straight line inclined to time axis.

(B) The v-t graph of the object is a straight line parallel to the velocity axis.

(C) The d-t graph of the object is a straight line inclined to time axis.

(D) Both (A) and (C).

Answer 1

Uniform acceleration a = constant

initial u = 0

It moves with v₁ = 24 m/s

again v₂ = 36 m/s, t = 4 sec

a = \(\frac{v_2-v_1}t\)

a = 36-24/4

a = 12/4 = 3 m/s²

v = u + at

dx/dt = u + at

x = ut+ 1/2 at²

x = 0 + 1/2 x 3 x (4)²

x = 1/2 x 3 x 16

x = 24 m

Option (D) is correct.