You and your younger sister (who weighs half as much you do) are at a skating rink. You are both wearing roller skates and are facing each other. What will happen to your and your sister's motion if you push against each other You move forward and your sister moves backward at a faster rate.

You both move forward, but you accelerate at a greater rate.

You move backward and your sister moves forward at a faster rate.

You both move backward but your sister accelerates at a greater rate

Ahigh-altitude spherical weather balloon expands as it rises, due to the drop in atmospheric pressure. suppose that the radius r increases at the rate of 0.02 inches per second, and that r = 36 inches at time t = 0. determine the equation that models the volume v of the balloon at time t, and find the volume when t = 360 seconds. v(t) = 4π(0.02t)2; 651.44 in3 v(t) = 4π(36 + 0.02t)2; 1,694,397.14 in3 v(t) = four pi times the product of zero point zero two and t to the third power divided by three.; 4,690.37 in3 v(t) = four pi times the quantity of thirty six plus zero point zero two t to the third power divided by three.; 337,706.83 in3