Suppose that a baseball is tossed up into the air at an initial velocity 1818\text{ m/s} m/s. The height of the baseball at time tt in seconds is given by h\mathopen{}\mathclose{\left(t\righ t)}=18 t-4.9 t^{2}h(t)=18t−4.9t 2 (in meters). a) What is the average velocity for \left[1, 1.5\right][1,1.5]?

13.1 m/s

Explanation:

Given that a baseball is tossed up into the air at an initial velocity 18 m/s. The height of the baseball at time t in seconds is given by h(t) = 18t−4.9t 2 (in meters).

a) What is the average velocity for [1,1.5]?

To calculate the velocity travelled by the ball, differentiate the function.

dh/dt = 18 - 9.8t

Substitute t for 1 in the above Differential function

dh/dt = 18 - 9.8 (1)

But dh/dt = velocity

V = 18 - 9.8

V = 8.2 m/s

Average velocity = ( U + V ) / 2

Average velocity = (18 + 8.2)/2

Average velocity = 26.2/2

Average velocity = 13.1 m/s

im sorry i dont know

jupiter is the largest planet in our solar system, having a mass and radius that are respectively, 318 and 11.2 times that of earth. suppose that an object falls from rest near the surface of each planet and that the acceleration due to gravity remains constant during the fall. each object falls the same distance before striking the ground. determine the ratio of the time of fall on jupiter to that on earth.