TEST REVIEW PHYSICS TRIG DERIVATIVES

A rocket is shot vertically upward with a speed of 12 ft/sec from the top of a platform that is 3 ft above the ground.

Position:  $s\left(t\right)=A\cdot t\ ^2+B\cdot t+C$  
Velocity:  $v\left(t\right)=D\cdot t+B$  
Acceleration:  $a\left(t\right)=D$  
Submit  $A,B,C,D$  

A ball is dropped vertically downward from the top of a 26 meter building.

Position:  $s\left(t\right)=A\cdot t\ ^2+B\cdot t+C$  
Velocity:  $v\left(t\right)=D\cdot t+B$  
Acceleration:  $a\left(t\right)=D$  
Submit  $A,B,C,D$  

Position function for an object moving in a linear path

 $s\left(t\right)=3\cdot t^{\ 2}+2\cdot t+5$  
Velocity at  $t=2$  
 $A\left(B\right)=C$  
Submit  $A,B,C$  

An object is thrown straight down from the top of a 220 ft building with a speed of 26 ft/sec.

Find the velocity of the object at one second.
 $A\left(B\right)=C\ \frac{ft}{\sec}$  
Submit  $A,B,C$  

DERIVATIVE OF A FUNCTION
 $g\left(t\right)=\frac{1}{3}\cdot\pi^{\ 3}$  
 $A\ '\left(B\right)=C$  
Submit  $A,B,C$  
(If necessary, submit pi for $\pi$ )

DERIVATIVE OF A FUNCTION
 $w=-\ \frac{12}{k^{\ 6}}$  
 $\frac{dA}{dB}=\frac{D}{k^{\ E}}$  
Submit  $A,B,D,E$  

DERIVATIVE OF A FUNCTION
 $v=36\cdot\ ^9\sqrt{a^{\ 4}}$  
 $\frac{dA}{dB}=\frac{D}{^E\sqrt{a^{\ F}}}$  
Submit  $A,B,D,E,F$  

DERIVATIVE OF A FUNCTION
 $P\left(x\right)=\left(3\cdot x^{\ 4}+7\right)^5$  
 $A\ '\left(B\right)=D\cdot x^{\ E}\cdot\left(3\cdot x^{\ 4}+7\right)^{\ F}$  
Submit  $A,B,D,E,F$  

 $s=h\left(u\right)$  

5 EQUIVALENT DERIVATIVE NOTATIONS

 $A'=B\ '\left(C\right)=\frac{dE}{dF}$  
 $=\frac{d}{dG}\left[H\left(K\right)\right]=D_{\ M}\ N$  
Submit  $A,B,C,E,F,G,H,K,M,N$  

DERIVATIVE OF A TRIG FUNCTION
 $y=14\cdot\sin\left(x^{\ 11}\right)$  
 $\frac{dy}{dx}=A\cdot x^{\ B}\cdot trig1\left(x^{\ 11}\right)$  
Submit  $A,B,trig1$