This figure shows the angular displacement of a pendulum on a planet with twice the earth's gravity. How long is the pendulum's string? A graph titled Angular Displacement of Pendulum. The horizontal axis is labeled Time, in seconds, and extends from 0 to 5.0 with an interval of 1.0. The vertical axis is labeled Angular Displacement, in radians, and extends from negative 0.3 to positive 0.3 with an interval of 0.1. The graph shown is a sine wave beginning at the origin. The sine wave peaks are at about 2.5 and its troughs are at about negative 2.5. From 0 to 5 seconds, the sine wave completes about 5 and one-half cycles.

A) 3.22 m

B) 0.80 m

C) 0.40 m

D) 1.61 m

What is the length x of the side of the triangle below? (hint: use the cosine function)

I'm kinda lost ! 1. when marilyn takes her pet dog for a walk, the dog walks at a veryconsistent pace of 0.55 m/s. draw a position-time graph to representmarilyn's dog walking the 19.8 m distance from the front of her house tothe nearest fire hydrant.2. both car a and car bleave school when a stopwatch reads zero. car atravels at a constant 75 km/h, and car b travels at a constant 85 km/h.a) draw a position-time graph showing the motion of both cars. howfar are the two cars from school when the stopwatch reads 2 hrs? calculate the distances and show them on your graph.b) both cars passed a gas station 120 km from the school. when dideach car pass the gas station? calculate the times and show themon your graph.3. the figure below shows the position-time graph showing a shopper'smovement up and down the aisle at a store.a) write a story describing the shopper's movements at the store.b) when does the shopper have a position of 6 m? c) how much time passes between when the shopper enters the aisleand when he gets to a position of 12 m? what is the shopper's averagevelocity between 37 s and 46 s?

Aprojectile is launched from ground level with an initial velocity of v 0 feet per second. neglecting air resistance, its height in feet t seconds after launch is given by s equals negative 16 t squared plus v 0 t. find the time(s) that the projectile will (a) reach a height of 192 ft and (b) return to the ground when v 0equals112 feet per second. (a) find the time(s) that the projectile will reach a height of 192 ft when v 0equals112 feet per second. select the correct choice below and, if necessary, fill in the answer box to complete your choice.