Amarble slides along a frictionless track at a constant speed before encountering a section of the track that is covered with a thin layer of putty. the instantaneous velocity of the marble as it slides past the putty, as a function of time is given by =−+ where =0 at the moment when the marble first comes into contact with the putty. as the marble exits the region covered in putty, the marble's instantaneous acceleration goes to zero. for =2.50 m/s, =2.95m/s2, and c=7.30m/s4, calculate the length δx of the track that is covered with putty.

Which of the following is not a transverse wave? a) soundb) lightc) radiod) all of thesee) none of these

Acarpenter builds an exterior house wall with a layer of wood 2.9 cm thick on the outside and a layer of styrofoam insulation 2.3 cm thick on the inside wall surface. the wood has k=0.080w/(m⋅k), and the styrofoam has k= 0.010 w/(m⋅k). the interior surface temperature is 19.0 ∘c , and the exterior surface temperature is -15.0 ∘c . a.)what is the temperature at the plane where the wood meets the styrofoam? celsius b.)what is the rate of heat flow per square meter through this wall? /m^2

Aparticle's position is given by x = 3.00 - 9.00t + 3t2, in which x is in meters and t is in seconds. (a) what is its velocity at t = 1 s? (b) is it moving in the positive or negative direction of x just then? (c) what is its speed just then? (d) is the speed increasing or decreasing just then? (try answering the next two questions without further calculation.) (e) is there ever an instant when the velocity is zero? if so, give the time t; if not, answer "0". (f) is there a time after t = 3 s when the particle is moving in the negative direction of x? if so, give the time t; if not, answer "0".