Velocity

Question 1

How do you find the average rate

Answer 1

plug in start and end
f(end)-f(start)/end-start

Question 2

when does a particle move forward graph

Answer 2

when the particle is increasing

Question 3

when does a particle move backward graph

Answer 3

when the particle is decreasing

Question 4

when is a particle’s acceleration positive graph

Answer 4

slope is increasing

Question 5

when is a particle’s acceleration negative graph

Answer 5

slope is decreasing

Question 6

when is a particle’s acceleration zero graph

Answer 6

slope is zero

Question 7

when is a particle moving left

Answer 7

slope is decreasing

Question 8

when is a particle moving right

Answer 8

slope is increasing

Question 9

when is a particle still

Answer 9

slope is zero

Question 10

when does a body reverse direction

Answer 10

velocity changes from positive to neg

Question 11

when does a body move at a constant

Answer 11

line is flat

Question 12

time to velocity graph

Answer 12

calculate the slope of each, increasing, decreasing, and still section
plot a straight line at the slope

Question 13

Velocity

Answer 13

Derivative of function

Question 14

Acceleration

Answer 14

Derivative of velocity

Question 15

how do you find the highest point

Answer 15

take derivative and solve for 0

Question 16

max height

Answer 16

plug highest point into original equation

Question 17

time it reaches half height/max height

Answer 17

add max/half height to the original equation
solve

Question 18

how do you find displacement

Answer 18

plug in 0, then plug in your number

Question 19

how do you find where a particle changes direction

Answer 19

solve the derivative for zero
pick a number less and greater than the previous number
if the numbers change signs, it changes direction

Question 20

sinx=

Answer 20

cosx

Question 21

tanx=

Answer 21

sec²x

Question 22

secx

Answer 22

secxtanx

Question 23

cosx

Answer 23

-sinx

Question 24

cotx

Answer 24

-csc²x

Question 25

how do you find the initial position?

Answer 25

solve for 0

Question 26

cscx

Answer 26

-cscxcotx

Question 27

sin(2a)=

Answer 27

2sin(A)cos(A)

Question 28

cos(2a)=

Answer 28

cos²(A)-sin²(A)

Question 29

the product of two functions f(x) = M(x) * N(x)

Answer 29

f’ (x) = M(x) * N’(x) + N(x) * M’(x)

Question 30

quotient of two functions f(x) = M(x) / N(x)

Answer 30

f’ (x) = ( N(x) * M’(x) - M(x) * N’(x) ) all over / ( M(x))^2

Question 31

how do you find where a function is differentiable?

Answer 31

Make sure its continuous Solve the bottom for zero

Question 32

how do you find the slope of a curve at a point

Answer 32

find the derivative plug the number in