Consider the system given by
y(t) = x(t) − (t + 1)2 x(t − 3) .
Determine whether this system is linear, time-invariant, memoryless, causal, and stable.

Consider the motion of ball down an inclined plane and determine at which position will it have maximum kinetic energy?

Consider a sound wave of 320 Hz frequency is traveling with a speed of 320 m/sec. Determine the wavelength of the sound wave.

Read the statements given below and determine which of the following statements violates the first law of thermodynamics?

1. It is possible to extract unlimited work from a machine without any source of energy.

2. The energy in a system always remains conserve

3. The entropy of the universe can never decrease

4. None of these