Suppose the velocity v of a motorboat coasting in water satisfies the differential equation dv/dt=kv2. The initial speed of the motorboat is v (0) = 10m/s and v is decreasing at a rate of 1 m/s^2 when v = 5 m/s. Required:
How long does it take for the velocity of the boat to decrease to 1 m/s^2 to 1/10 m/s^2, when does it come to a stop?

Which of these is constant for all types of electromagnetic radiation in a vacuum? select one: a. wavelength b. frequency c. photon energy d. amplitude e. velocity

An astronaut in space cannot use a scale or balance to weigh objects because there is no gravity. but she does have devices to measure distance and time accurately. she knows her own mass is 77.4 kg , but she is unsure of the mass of a large gas canister in the airless rocket. when this canister is approaching her at 3.50 m/s , she pushes against it, which slows it down to 1.30 m/s (but does not reverse it) and gives her a speed of 2.60 m/s . what is the mass of the canister?

Acoil suspended freely, points in some direction when no current is passed through it . can you tell what will happen when a current is passed though it?