Ineed with #25 and #26 i don't understand it .. can somebody me with it
it is due tomorrow i have to get it done by tomorrow morning if not i will get a f on it

25.

The question is on  kinematic equations and free fall

An expression for h, displacement is given by;

h=v.t +1/2 at²................... where v is initial velocity, t is time and a is acceleration due to gravity

Given v=10ft/s d=-50 and a= -32.2 ft/s²..............................substitute the values in

h=v.t +1/2 at².

-50=10t + 1/2( -32.2)t²

-50=10t-16.1t²

16.1t²-10t-50=0..........................the function for height h in feet

b)  Solve 16.1t²-10t-50=0 using the quadratic formula

t= (-b ± √b² - 4ac )/2a

a=16.1  b= -10   and c= -50

t=( 10 ± √ (-10)² - 4 × 16.1 × -50 ) / 2×16.1

t= (10± √3320 )/ 32.2

t= (10± 57.62 ) / 32.2

t=67.62/32.2 = 2.1 sec or  - 47.62/32.2 = -1.5 sec

26.

a)The question is on  kinematic equations and free fall

An expression for h, displacement is given by;

h=v.t +1/2 at²................... where v is initial velocity, t is time and a is acceleration due to gravity

Given v=3ft/s  h= -1.3 ft and a= -32.2 ft/s²

substitute vales in;

h=v.t +1/2 at²

1.3=3t+1/2(32.2)t²

1.3=3t+16.1t²

16.1t²+3t-1.3=0...........................the function for h

b) Solve for t in 16.1t²+3t-1.3=0 using the quadratic formula

a=16.1        b=3      c= -1.3

t= (-3 ± √ -3² - 4×16.1× -1.3) / 2×16.1

t= ( -3 ± √ 9 + 83.72 ) / 32.2

t= (-3 ± 9.6 )/32.2

t= (-3+9.6)/32.2  = 6.6/32.2 = 0.2049 or

t= (-3-9.6)/32.2 = -12.6/ 32.2 = -0.391

c)  if the ball hit the rim at one half foot above the ground, find the distance it covered before hitting the rim

1.3-0.5=0.8 ft......................displacement

applying h=v.t +1/2 at²

0.8=3t+16.1t²

16.1t²+3t-0.8=0.......................solve using the quadratic formula

a=16.1  b=3    c= -0.8

t=(  -3 ± √3²- 4×16.1×-0.8  )/2×16.1

t=( -3±√9+51.52 )/ 2× 16.1

t = (-3 ± √60.52 )/32.2

t=( -3±7.78 )/ 32.2

t= (-3+7.78 )/32.2 =0.148 sec   or  t= (-3-7.78)/32.2 = -0.335 sec

7 ft 6 in means 7 1/2, because 6 in is 1/2 of a foot. 7 ft 8 in means 7 2/3 because 8 in is 2/3 of a foot. 23/3 = 7 2/3. 15/2 = 7 1/2.

23/3   *   15/2   = 57 1/2

step-by-step explanation:

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.