Use the position function s(t) = –4.9t2 + 700, which gives the height (in meters) of an object that has fallen for t seconds from a height of 700 meters. the velocity at time t = a seconds is given by the following. $ \displaystyle{\lim_{t \rightarrow a}} \text{ }\dfrac{s(a) - s(t)}{a - t} $ find the velocity of the object when t = 3.

Acar drives toward the right over the top of a hill, as shown below. which arrow represents the centripetal acceleration? w x y z

Aperson gives a shopping cart an initial push along a horizontal floor to get it moving, and then lets go. the cart travels forward along the floor, gradually slowing as it moves. consider the horizontal force(s) on the cart while it is moving forward and slowing. which of the following statements is correct? (a) both a forward and a backward force are acting on the cart, but the forward force is larger. (b) only a forward force is acting which diminishes with time. (c) both a forward and a backward force are acting on the cart, but the backward force is larger. (d) only a backward force is acting, no forward force.

If forces acting on an object are unbalanced. true or false