how do you find velocity and distace travelled from an acceleration time. graph? (given: Vo=0, car is moving in straight direction) graph is a piecewise { y=-x [0,5] and y=0 [5,infinity] }

the three displacements given are 69.8m , 53? west of north; 11.3m straight north; and 83.6m , 42? south of east. What magnitude does the winner calculate for the displacement to find the keys to the Porsche?

Approximately how many atoms are there in a baby elephant (mass 240 kg)? Give the order of magnitude (power of ten).

The feet of the elephant are approximately round with a radius of 6 cm. How much average pressure does the elephant exert on the ground under its feet if it is standing on all four feet? (in kPa)

The elephant has a volume of 0.23 m³. If it is taking a bath with 54 percent of its volume under water (fresh water, density 1 g/cm³), how much average pressure do its feet exert on the bottom of the pool? (in kPa)

Projectile Motion - From Ground - General Launch Angle A rocket is fired at an initial speed v0 = 160.0 m/s from ground level, at an angle θ = 46° above the horizontal. Ignore air resistance. The magnitude of the gravitational acceleration is 9.8 m/s2. Choose the RIGHT as positive x-direction. Choose UPWARD as psotitive y-direction Keep 2 decimal places in all answers

A. Find v0x, the x component of the initial velocity (in m/s)

B.Find v0y, the y component of the initial velocity (in m/s)

C.How long (in seconds) does it take the rocket to reach the maximum height?

D.How long (in seconds) is the rocket in the air before hitting the ground?

E.What maximum height (in meters) does the rocket reach above the ground?

F.What is the range (the horizontal distance) (in meters) the rocket travels before hitting the ground?

please show work and reasoning

1) What happens to a light wave with velocity v = ??, when it travels from air into
glass? (a) Its speed remains the same. (b) Its speed increases. (c) Its
wavelength increases. (d) Its wavelength remains the same. (e) Its frequency
remains the same.

2) A Crystal Gyser

A 1kg ring with a radius of 10 cm rolls down a board inclined at 30 degrees from a height of 4 meter. At the bottom of the inclined, n a frictionless table fits a 3-kg block. After coming off of the incline, the ring slides (without rolling) until colliding and coupling with the block. The ring-block system then continues to move and flies off the edge of the 1.5 meter high table. What is the velocity of the ring-block system after the collision?

A point charge of -2.5 µC is located at the origin. A second point charge of 9 µC is at x = 1 m, y = 0.5 m. Find the x and y coordinates of the position at which an electron would be in equilibrium.

1)x =( ) m

2)y = ()m

The index of refraction in flint glass for these components of white light - blue, yellow, and red colors are 1.639, 1.627, and 1.622 respectively. (a) Calculate, in nanometers, to four significant figures, the wavelengths of these colors in flint glass (b) During the time the blue light travels 1.000 m in flint glass, the red light will travel (1) more than, (2) less than, (3) exactly 1.000 m. (c) Calculate the difference in the distance traveled by the two colors.

Write the particular time dependent solution of the undamped harmonic oscillator given that at time t=0, the spring is initially at its equilibrium with an initial velocity v_0 and identify each term in the expression. Also, write the form of the time dependent velocity and show that it obeys the initial conditions.

Tidal Friction

For the calculations below, note that the Moon's mass is about 1/80th of the Earth's, so the total mass of the Earth-Moon system is essentially the Earth's mass.

(a) Once the Earth is in synchronous rotation with the Moon's orbit, what will be the semimajor axis (in km) of the Moon's orbit? Will it be inside or outside the Earth's Hill sphere?

(b) How large (in angular diameter) will the Moon appear in the Earth's sky once it's in synchronous orbit?

can someone tell me the differences between “Free Undamped Motion”, “Free Damped Motion”, “Driven Undamped Motion”, or “Driven Damped Motion”

sample drawings will be helpful.

Error...

A jet with mass m = 6 × 104 kg jet accelerates down the runway for takeoff at 2 m/s2. 1)What is the net horizontal force on the airplane as it accelerates for takeoff?

2)What is the net vertical force on the airplane as it accelerates for takeoff?

3)Once off the ground, the plane climbs upward for 20 seconds. During this time, the vertical speed increases from zero to 20 m/s, while the horizontal speed increases from 80 m/s to 98 m/s. What is the net horizontal force on the airplane as it climbs upward?

4)What is the net vertical force on the airplane as it climbs upward?

5)After reaching cruising altitude, the plane levels off, keeping the horizontal speed constant, but smoothly reducing the vertical speed to zero, in 16 seconds. What is the net horizontal force on the airplane as it levels off?

6)What is the net vertical force on the airplane as it levels off?

Suppose 1.0 mol of an ideal gas is initially at P=4.0 atm and T=400 K. It is expanded irreversibly and adiabatically against a constant pressure of 1.0 atm until the volume has doubled.
(a) Calculate the final volume of the gas.
(b) Calculate w, q, and energy change ΔU of this process, in joules.
(c) Calculate the final temperature of the gas.
(d) Calculate the entropy change ΔS of the ideal gas in the process.
(e) What is the entropy change of the surroundings, ΔS_surr, during this process? Does the results in (c) and (d) in combination satisfy the second law of thermodynamics? Explain

An object with mass 70 kg moved in outer space. When it was at location <7, -35, -5> its speed was 5.0 m/s. A single constant force <210, 400, -150> N acted on the object while the object moved from location <7, -35, -5> m to location <11, -27, -8> m. Then a different single constant force <140, 250, 210> N acted on the object while the object moved from location <11, -27, -8> m to location <17, -31, -3> m. What is the speed of the object at this final location?