The projectile motion of an object can be modified using s(t) = gt^2 + V0t + S0, where g is the acceleration due to gravity, t is the time in seconds since launch, s(t) is the height after t seconds, V0 is the initial velocity, and S0 is the initial height. The acceleration due to gravity is -4.9 m/s^2.

A rocket is launched from the ground at am initial velocity of 39.2 meters per second. Which equation can be used to model the height of the rocket after t seconds?

A.) s(t) = -4.9t^2 + 39.2
B.) s(t) = -4.9t^2 + 39.2t
C.) s(t) = -4.9t^2 + 39.2t + 39.2
D.) s(t) = -4.9t^2 + 39.2t - 39.2

Exercise: counting committees 0.0/2.0 puntos (calificable) we start with a pool of n people. a chaired committee consists of k≥1 members, out of whom one member is designated as the chairperson. the expression k(nk) can be interpreted as the number of possible chaired committees with k members. this is because we have (nk) choices for the k members, and once the members are chosen, there are then k choices for the chairperson. thus, c=∑k=1nk(nk) is the total number of possible chaired committees of any size. find the value of c (as a function of n ) by thinking about a different way of forming a chaired committee: first choose the chairperson, then choose the other members of the committee. the answer is of the form c=(α+nβ)2γn+δ. what are the values of α , β , γ , and δ ?