Suppose you are driving a car. let s(t) denote your position in feet at time t (and assume s(t) is differentiable). consider an interval of time [ 0, 40 ] (in seconds). at t = 0, you put your foot on the pedal softly and keep the same amount of force on the pedal for 10 seconds. at the 10 second mark, you begin increasing the force of your foot gradually until t = 20, when you see a red light in the distance, so you gradually lift your foot from the pedal. at t = 30, you begin braking, and finally stop at the red light at t = 40. at what time t does the sign of the second derivative switch from positive to negative or from negative to positive?

A3.9 g aluminum foil ball with a charge of +4.1×10−9 c is suspended on a string in a uniform horizontal e⃗ field. the string deviates to the right and makes an angle of 30∘ with the vertical. part a part complete what information about the e⃗ field can you determine for this situation? what information about the field can you determine for this situation? only the magnitude of e⃗ only the direction of e⃗ both the magnitude and the direction of e⃗ none of the above previous answers correct part b determine the magnitude of the electric field. express your answer with the appropriate units. e e = nothing nothing request answer part c determine the direction of the electric field. determine the direction of the electric field. to the right to the left away from you toward you

An architect plans to use solar energy to heat the next house he designs. what principle of absorption and infrared energy can be applied to the design of the new house? how could she apply to those principals?

Calculate the velocity of a car traveling in a straight path due east with a distance of 16 meters in 2 seconds. question 1 options: a)32 m/s b)32 m/s e c) 8 m/s e d) 8 m/s