The directions to locate a buried time capsule tell you to walk 50 paces west from the front door of your school, turn 80° to the left and walk 40 more paces. What is the magnitude of the capsules displacement from the door of the school (show your work)? A. 58.36 paces
B. 69.24 paces
C. You really don’t have a clue.
D. 64.03 paces

Let f(x) = x4- 8x2 . find the relativeextrema of this function using the second derivative test.

During takeoff, the sound intensity level of a jet engine is 170db at a distance of 34 m. what's the sound intensity level at a distance of 1.0 km?

Imagine you are riding on a yacht in the ocean and traveling at 20 mph. you then hit a golf ball at 100 mph from the deck of the yacht. you see the ball move away from you at 100mph, while a person standing on a near by beach would observe your golf ball traveling at 120 mph (20 mph + 100 mph). now imagine you are aboard the hermes spacecraft traveling at 0.1c (1/10 the speed of light) past mars and shine a laser from the front of the ship. you would see the light traveling at c (the speed of light) away from your ship. according to einstein’s special relativity, how fast will a person on mars observe the light to be traveling? a) 0.1c (1/10 the speed of light) b) c (the speed of light) c)1.1c (c+0.1c)