A body is moved along a straight line by a machine delivering a constant power. The distance moved by the body in time "t" is proportional to:

Explanation

Option C is correct.Yes, the distance moved by a body in time "t" is proportional to t3/2 when a machine delivers a constant power. The power of a machine is defined as the rate at which it does work. In the case of a machine moving a body along a straight line, the work done by the machine is equal to the force applied by the machine times the distance moved by the body. The force applied by the machine is constant, so the power of the machine is also constant. This means that the distance moved by the body is proportional to the time it takes to move the body. The distance moved by the body in time "t" can be calculated using the following formula: Distance = Power * Time where: Power is the constant power of the machine Time is the time it takes to move the body Substituting the constant power of the machine into the formula, we get: Distance = Constant Power * Time In this case, the constant power of the machine is proportional to t3/2. Therefore, the distance moved by the body is also proportional to t3/2. Here is an example: Suppose a machine delivers a constant power of 10t3/2 watts to a body. If the machine moves the body for 2 seconds, the distance moved by the body is: Distance = 10t3/2 watts * 2 seconds = 20t watts Since the power of the machine is proportional to t3/2, the distance moved by the body is also proportional to t3/2.