a turtle crawls along a straight line, which we will call the x-axis with the positive direction to the right. the equation for the turtle’s position as a function of time is x(t) = 50.0 cm + (2.00 cm/s)t - (0.0625 cm/s^2)t^2. (a) find the turtle’s initial velocity, initial position, and initial acceleration. (b) at what time t is the velocity of the turtle zero? (c) how long after starting does it take the turtle to return to its starting point? (d) at what times t is the turtle a distance of 10.0 cm from its starting point? what is the velocity (magnitude and direction) of the turtle at each of those times?+

Under conditions for which the same room temperature is maintained by a heating or cooling system, it is not uncommon for a person to feel chilled in the winter but comfortable in the summer. provide a plausible explanation for this situation (with supporting calculations) by considering a room whose air temperature is maintained at 20â°c throughout the year, while the walls of the room are nominally at 27â°c and 14â°c in the summer and winter, respectively. the exposed surface of a person in the room may be assumed to be at a temperature of 32â°c throughout the year and to have an emissivity of 0.90. the coefficient associated with heat transfer by natural convection between the person and the room air is approximately 2 w/m2 â‹…â‹… k. what is the ratio of the thermal resistance due to convection to the thermal resistance due to radiation in the summer? what is the ratio of thermal resistances in the winter

Which accounts for an increase in the temperature of a gas that is kept a constant volume

Uppose we consider the system of the three capacitors as a single "equivalent" capacitor. given the charges of the three individual capacitors calculated in the previous part, find the total charge qtot for this equivalent capacitor. express your answer in terms of v and c.