5395

Physics Quantum Mechanics Level: Misc Level

This is a particle model for a chicken casually walking across the road.Time intervals are every 0.1 s. Draw the corresponding position-time graph and equation to describe the chicken,s motion.




5394

Physics Kinematics Level: Misc Level

Both car A  and Car B leave school when a stopwatch reads zero. Car A travels at a  constant 75 km/h, and car B travels at a constant 85 km/h

a. Draw a position- time graph showing the motion of both cars. How far are the two cars from school when the stopwatch reads 2.0h? Calculate the distances and show them on your graph.

b. Both cars passed a gas station 120 km from the school. when did each car pass the gas station ? Calculate the times and show them on your graph.




5393

Physics Kinematics Level: Misc Level

A cyclist maintains a constant velocity of +5.0 m/s. At time t=0.0 s, the cyclist is +250 m from point A.

a. plot a position -time graph of the cyclists location from point A at 10.0 -s intervals for 60.0 s.

b. what is the cyclist s position from point A at 60.0 s?

c. what is the displacement from the starting positin at 60.0 s?




5392

Physics Kinematics Level: Misc Level

A car is moving down a street at 55 km/h. A child suddenly runs into the street. If it takes the driver 0.75 s to react and apply the brakes, how meters will the car have moved befor it begins to slow down?




5391

Mathematics Integration Level: Misc Level

Solve the following integral using properties of definite integrals

\int_{0}^{\pi}xlog(Sinx)dx




5390

Mathematics Integration Level: Misc Level

Prove that \int_{0}^{\frac{\pi}{2}}log(Sinx)dx=\int_{0}^{\frac{\pi}{2}}log(Cosx)dx=\frac{-\pi}{2}log2




5389

Mathematics Integration Level: Misc Level

Solve the following integral using properties of definite integrals

\int_{2}^{3}\frac{\sqrt{x}}{\sqrt{5-x}+\sqrt{x}}dx




5388

Mathematics Integration Level: Misc Level

Solve the following integral using properties of definite integrals

\int_{0}^{\pi}\frac{4xSinx}{1+Cos^2x}dx




5387

Mathematics Integration Level: Misc Level

Solve the following integral using properties of definite integrals

\int_{0}^{\frac{\pi}{2}}\frac{dx}{1+\sqrt{Cotx}}




5386

Mathematics Integration Level: Misc Level

Solve the following integral using properties of definite integrals

\int_{0}^{\frac{\pi}{2}}\frac{\sqrt{Sinx}}{\sqrt{Sinx}+\sqrt{Cosx}}dx




5385

Mathematics Integration Level: Misc Level

Solve the following integral using properties of definite integrals

\int_{0}^{3}x^2\sqrt{3-x}dx




5384

Mathematics Integration Level: Misc Level

Solve the following integral using properties of definite integrals

\int_{\frac{-\pi}{2}}^{\frac{\pi}{2}}Sin^2xdx




5383

Mathematics Integration Level: Misc Level

Solve the following integral using properties of definite integrals

\int_{log\frac{1}{2}}^{log2}Sin\left ( \frac{e^x+1}{e^x-1} \right )dx




5382

Mathematics Integration Level: Misc Level

Solve the following integral using properties of definite integrals

\int_{0}^{2\pi}Cos^5xdx




5381

Mathematics Integration Level: Misc Level

Solve the following integral using properties of definite integrals

\int_{0}^{9}f(x)dx  where f(x) is as shown in the answer


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