Aball travels on a parabolic path in which the height (in feet) is given by the expression $-16t^2+64t+31$, where $t$ is the time after launch. what is the maximum height of the ball, in feet?

Maximum height, h(t) = 95 meters

Explanation:

A ball travels on a parabolic path in which the height (in feet) is given by :

.............(1)

Where

t is the time after launch

We need to find the maximum height of the ball in feet. For maximum height,

t = 2

Put the value of t in equation (1) as :

h(t) = 95 meters

So, the maximum height of the ball is 95 meters. Hence, this is the required solution.

answer: option c. i.e. electric current flowing “downhill” from the negative electrode to the positive electrode in a battery

explanation:

the water analogy to the circuits define the pipes (water flows) to the electric current. now, we know that the electric current flows from the positive terminal to the circuit (as shown in the diagram attached).

hence, option c is the correct answer.

u=13

v=30

s/t=u+1\2at

=13+431/2

=13+265.5

=278.5