a projectile is launched vertically. its height is y(t), and y(0)=0 and v(0)=+20m/s. the acceleration due to gravity is g m/s2 and it is negative. if b> 0 and resistive force is f = -bv, then we have mv'=mg-bv. suppose g = -10 m/s2, m=1 kg, and b=1.
a) find the time when v=0. this will be the time when the projectile reaches maximum height.
b) find the value of y at this time.
now use that height for the next part. reset the stop watch to t=0, and the initial conditions are v(0)=0 and y(0)=that max. height.
c)do we need to change the sign of the bv term, since from now, the velocity will be negative? explain.
d)determine the value of new t when the projectile hits the ground. is it the same as the value of t in part (a)? if it is not the same then explain why it must be different.

step-by-step explanation:

. your answer will contain x - and y -terms. (1 point) x ( ¿¿ 2 − 7 ) 2 +( y 2 − 9 ) 2 √ ¿ 12. what is the distance from the directrix (the crocodile river) to the point ( x , y )? write this equation. your answer will contain a y -term.

yes

step-by-step explanation:

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for