1.Un coche pasa por un semáforo con una velocidad de 50 km/h. Una motocicleta pasa s después por el mismo lugar a 60 km/h. Si circulan por una calle recta, calcula: a) la distancia en metros entre el semáforo y el punto en el cual la motocicleta alcanza al coche; b) el tiempo que tarda la motocicleta en alcanzar al coche.

Let f(x) = x4- 8x2 . find the relativeextrema of this function using the second derivative test.

The ultracentrifuge is an important tool for separating and analyzing proteins. because of the enormous centripetal accelerations, the centrifuge must be carefully balanced, with each sample matched by a sample of identical mass on the opposite side. any difference in the masses of opposing samples creates a net force on the shaft of the rotor, potentially leading to a catastrophic failure of the apparatus. suppose a scientist makes a slight error in sample preparation and one sample has a mass 10 mg larger than the opposing sample. if the samples are 12 cm from the axis of the rotor and the ultracentrifuge spins at 70,000 rpm, what is the magnitude of the net force on the rotor due to the unbalanced samples? ( be thorough on your answer)

Wavelength of 125 meters is moving at a speed of 10 m/s. what is it's frequency?