36. A box falls off a warehouse shelf from a height of 64 feet. The function h(t)=-16t^2+64 represents the h, height in feet, after t seconds. How long does it take the box to hit the ground?

Distinguish between the atomic view and the continuous view of matter. The Atomic theory assumes that matter is made up of small unit particles that cannot be further subdivided and still be the same kind of matter. The Atomic theory assumes that matter is made up of small unit particles that can be further subdivided and still be the same kind of matter. The Atomic theory assumes that matter is made up of small unit particles that can be further subdivided infinity.

\#4) A mass of 4 kg stretches spring 40 cm. The mass is acted on by an external force of $180e^{-2t}+196N$ and moves in a medium that imparts a viscous force of 34 N when the speed of the mass is $\frac {1}{3}m/sec$ Mass is set in motion from equilibrium position with an initial velocity of $1m/sec$ A) Formulate an initial value problem $(IVP)$ B) Solve the IVP

When a stone is dropped in a pond ripples are formed and travel in concentric circles away from where the stone. was dropped. The equation of the least-squares regression line is $\hat {Area}=0.010+3.141(Time^{2})$ What is the predicted area, in $cm^{2}$ of the circle 8 seconds after the stone was dropped? $25.14cm^{2}$ $50.27cm^{2}$ $64.01cm^{2}$ $201.03cm^{2}$

Caleb is investigating the effect of friction on the motion of an object. He uses the following supplies for the investigation: a wooden block three ramps, each ramp is the same height and length but has a different surface (smooth wood, carpet rough sandpaper) a stopwatch

All the following are correct,except: The law of conservation of energy states that energy can never be created or destroyed. When food is cooked on a stove. some of the thermal energy from the burner transfers to the surrounding air. During the transfer of thermal energy, no energy is gained or lost. Energy cannot change form

For a given process a system emits 322kJ of heat at the same as it performs 22 kJ of work The values of $\Delta H$ and $\Delta E$ respectively are 322kJ and 344kJ $-322kJ$ and $-344kJ$ $-344kJ$ and $-322kJ$ 344kJ and 322kJ

How long (in seconds)must a de-orbit burn last if the rocket is 25,848kg and a rocket force of 53,000 newtons to go from 334.8 km to 96.5 km if the mass does not change

In a dam, water flows through a(n) __ to make electricity. wire generator battery Rewatch

5. (5 marks) A circular cylinder of radius $R=5$ m and height $H=10m$ half full of water.Using the density of water $\rho =1000kg/m^{3}$ and earth's gravitational constant $g=9.8N/kg$ calculate the work done in pumping all the water out the top. State your answer in scientific notation with two signficant figures, e.g. $1.4\times 10^{5}$ and with correct units. $\square $

9. Even though outer space has a temperature near zero Kelvin (absolute zero or about $-273^{\circ }C)$ water would exist only as a gas, and not a solid. Explain this phenomena in terms of air pressure and boiling points. 10. Would it take longer to cook a pot of pasta in Denver, Colorado, or Lincoln Nebraska?