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Convert 8m/s2 to km/s2

A fielder in a cricket match throws the ball to the wicket-keeper. At one moment of time, the ball has a horizontal velocity of 16 ms and a velocity in t the vertically upward direction of 8.9 ms ¹

(a) Determine, for the ball :

Its resultant speed

In Exercises 15-18, find the fluid force on the vertical plate submerged in water, where the dimensions are given in meters and the weight-density of water is 9800 newtons per cubic meter.

A block, mass m = 6 kg, is pulled from rest (v0 = 0) to the right by a constant horizontal force F = 12 N. After it has
been pulled for d = 3 m, find it’s final speed v

Letf(x)=√8 x+1andtakex0 =0.

1. (i)  Find the third-order Taylor polynomial p3(x) of f(x), based at x0.

2. (ii)  Use p3(x) to obtain an approximation to √8 1.08.

3. (iii)  Use the remainder term in the Taylor development to estimate the error in your approxi- mation. Explain why the first 5 digits of this approximation are exact.

Consider the function represented by 9x+3 y=12 with x as the independent variable. How can this function be written using function notation?

f(x)=x²-2x-8

g(x)=x-4

. (a) Explain how you can use the graph of position versus time
in Figure 2.54 to describe the change in velocity over time.
Identify (b) the time ( , , , , or ) at which the
instantaneous velocity is greatest, (c) the time at which it is
zero, and (d) the time at which it is negative.

Which of the following is equivalent to ?

A.  

B.  

C.  

D.  

Which of the following equations are equivalent to ?

a.  

b.  

c.  

d.  

Amy pays $25 to enter a state fair, plus $3 for each ride. Which of the following equations represent her total cost?

⭕ A. y = 28x

⭕ B. y = 3x + 25

⭕ C. y = 25x + 3

⭕ D. y = 3x + 28

Find the total area enclosed by 4 non overlapping rectangles if each rectangle has a width of 4 meters and the heights are 4,5,6, and 7 meters respectively 

Diana invested $3000 in a savings account for 3 years. She earned $450 in interest over that time period. What interest rate did she earn? Use the formula I=Prt to find your answer, where I is interest, P is principal, r is rate and t is time. Enter your solution in decimal form rounded to the nearest hundredth. For example, if your solution is 12%, you would enter 0.12.

Sketch the graph of    

Solve the equation:

y + 4 = -3(x + 2)

Show that the points form the vertices of the polygon.

     isosceles triangle: (2,-5), (3,3), (-5,4)

distance between (2,-5) and (3,3)        = ______ units

distance between (3,3) and (-5,4)        = ______ units 

distance between (2,-5) and (-5,4)      = ______ units  

Rewrite (55 44) 33 using the Associative Law of Multiplication

◯ 55 (44 33)

◯ 33 (55 44) 

◯ (55 33) 44

◯ (44 55)  33

Let f(x, y) = x 2 – y 2 .
(i) Find the level curve of f passing through the point (5, 3).
(ii) Find the gradient of f at that point.
(iii) Make a sketch of both the level curve and the gradient vector.
(iv) Determine the equations of the normal line and the tangent line to the curve
f(x, y) = x 2 – y 2 at the point (5, 3).