Final answer:
The bullet's velocity relative to the target is the sum of the jet's velocity and the bullet's muzzle velocity resulting in 1800 m/s. The hypothetical scenario where the speed of light is 3000 m/s would make relativistic effects like time dilation observable in daily life.
Step-by-step explanation:
The question asks about the velocity of bullets relative to a target when the jet fighter is moving toward the target and shoots bullets with a given muzzle velocity. To find the relative velocity of the bullets to the target, one needs to apply the principles of classical mechanics since, under the hypothetical condition where the speed of light is only 3000 m/s, relativistic mechanics are not necessary for this calculation.
The bullet's muzzle velocity is the speed at which it leaves the barrel of the gun, expressed here as 1000 m/s. Since the jet is moving toward the target at a speed of 800 m/s, the total velocity of the bullet relative to the target would be the sum of the jet's velocity and the bullet's muzzle velocity. Using the formula Vrelative = Vjet + Vmuzzle, where Vjet is the jet's velocity and Vmuzzle is the bullet's muzzle velocity, we find that Vrelative = 800 m/s + 1000 m/s = 1800 m/s.
Part (b) of the question discusses the implications of a much lower speed of light on the observation of relativistic effects in everyday life. With a speed of light at 3000 m/s, relativistic effects, like time dilation and length contraction which are usually noticeable only when moving at speeds close to the speed of light, would be evident in everyday phenomena. For example, even running at a moderate pace would cause noticeable time dilation effects.