In equation x = ut +½at², x represents position, u is initial velocity, t is time and a is acceleration.

What will it be second derivative of x with respect to t?

Given three vectors A = –i –4j +2k, B = 3i +2j –2k and C = 2i –3j +k Calculate A•(B×C) A) –6 B) +6

C) –4i –7j –13k D) -i –4j +2k

A vector has a magnitude of 16 units. Its x– component is 8 units. Calculate its y– component

and angle the vector makes with the x–axis respectively.

In the equation Vⁿ= 2ax, the unit of variables v, a and x are m/s , m/s² and m respectively. If n is an integer, what must be the value of n that will validate the given equation?

An object starts from rest at the origin and moves along the x axis with a constant acceleration of 4 m/s2. Its average velocity as it goes from x = 2 m to x = 8 m is: A) 1 m/s B) 2 m/s C) 3 m/s D) 5 m/s E) 6 m/s

Over a short interval near time t = 0 the coordinate of an automobile in meters is given by x(t) = 27t − 4.0t 3, where t is in seconds. At the end of 1.0 s the acceleration of the auto is:

How far does a car travel in 6 s if its initial velocity is 2 m/s and its acceleration is 2 m/s2 in the forward direction?

The angle between An = (25 m)ˆi + (45 m)ˆj and the positive x axis is:

If An = (2 m)ˆi − (3 m)ˆj and Bn = (1 m)ˆi − (2 m)ˆj, then An − 2Bn =