What is your favorite class?
What does SOH CAH TOA stand for?
sin angle= opp/hyp cos angle = adj/hyp tan angle = opp/adj
How to solve for x: trig X = B/C
UNTRIG: trig-1 (B/C) = x
How to solve for x: trig A = X/C
SLIDE: C trig angle = x
How to solve for x: trig A = B/X
SWITCH: B/trig angle = x
How to solve triangles when there are no angles given?
PYTHAGOREAN THEOREM (or law of sines)
What are other names for UN-TRIG?
arc trig, inverse trig, trig ^ -1
What to the interior angles of a triangle add up to?
180 degrees, since a right triangle already has a 90 degree angle, the other two angles are complementary (add to 90)
What do the two smaller angles in a right triangle add up to?
What do you call angles that add to 90?
What angle of elevation will give the same horizontal range as a 20 degree launch?
A 70 degree launch. Complementary angles go the same horizontal distance
sin 70 = cos __
cos 50 = sin __
sin 50 / cos 50 = tan ____
sin m = cos ___
cos g = sin ____
sin f / cos f = tan ___
How far does a dropped object fall in 1sec, 2sec, 3sec, 4sec, 5sec? hint: use d=5t^2
5m, 20m, 45m, 80m, 125m.
Vectors have both _____ and _____
magnitude and direction
Describe magnitude and direction.
Magnitude answers "how much?" and direction answers "which way?"
What is difference between vector and scalar quantities?
Vectors have magnitude and direction, so combining them is tricky. Scalars have magnitude only, so they can be easily added, subtracted, multiplied and divided.
Give examples of vector quantities.
Velocity, acceleration, and force.
Give examples of scalar quantities.
mass, time, volume, area.
A thrown baseball has has two velocity components. Describe them
A vertical component and a horizontal component. The vertical component and the horizontal components are independent, so they do not act on eachother. The vertical changes (accelerates) and the horizontal is constant.
Discuss the vertical component of a thrown baseball
CHANGING VELOCITY. The vertical component is impacted by gravity, so always changing by 10m/s per second.
Discuss the horizontal component of a thrown baseball.
SAME VELOCITY THE WHOLE TIME. Because we ignore air resistance, we assume that the baseball moves at constant velocity horizontally
How can you think about the horizontal component of velocity to help understand it?
GROUND SHADOW, for Vx, horizontal, imagine the sun straight above and visualize the speed of the shadow cast on the ground. the speed of the shadow is the horizontal speed.
How can you think about the vertical component of velocity to help understand it?
WALL SHADOW, For Vy, the vertical speed, imagine a huge spotlight behind where the projectile is being launched from, pointing in the direction of the projectiles path. Also imagine a wall just beyond it. the speed of the shadow of the ball on that wall is the vertical speed.
If we know the horizontal and vertical component of a thrown baseball, how can we find the initial velocity?
Use the PYTHAGOREAN THEOREM v = sqrt (h squared + v squared)
If you know horizontal and vertical component, how do you find angle??
tan -1 (opp/adj)