Question

Choose the correct explanation for the motion of an object undergoing an acceleration of 8 m/s². a the object's speed will increase by 8 m/s every second and the distance it travels will increase by increasing amounts each second. b the object's speed will increase by 8 m/s every second and the distance it travels will increase by a constant amount each second. c the object's speed will decrease by 8 m/s and the distance it travels will increase by an increasing amount each second.

Answer 1

a) is correct

a = (v2 - v1) / t for an object with constant acceleration

a = 8 m/s / 1 s = 8 m/s^2

Also, S = 1/2 a t^2 so S increases quadratically as t increases linearly