Show how to come up to an equation to get the initial velocity

High-speed motion pictures (3500 frames/second) of a jumping 230 μg flea yielded the data to plot the flea's acceleration as a function of time as shown in the figure ( Figure 1). (See "The Flying Leap of the Flea," by M. Rothschild et al. in the November 1973 Scientific American.) This flea was about 2 mm long and jumped at a nearly vertical takeoff angle. Use the measurements shown on the graph to answer the questions. Figure alg 150 100 50 0 0 0.5 1.0 1.5 Part E Use the graph to find the flea's maximum speed. Express your answer in meters per second to two significant figures. IVE] ΑΣΦ 3 v=1.6 Submit Previous Answers Request Answer ? X Incorrect; Try Again; 2 attempts remaining m/s

The British Queen Elizabeth-class battleship HMS Warspite achieved the longest naval gunnery hit from a moving ship to a moving target in history, hitting the Italian battleship Guilio Cesare in the Battle of Taranto. According to known data, the range was 24000 meters, and that the British 15-inch Mk I naval gun has a maximum muzzle velocity of 800 meters per second. Due to movement, a headwind was against the British battleship, forcing its shells to decelerate by approximately 0.5 meters per second squared. Find the firing angle of the Warspite upon hitting Guilio Cesare. Find the impact velocity of the 15-inch naval cannon's shell.

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#1) Given the graph below, which represents the velocity of a sprinter as a function of time in the x- direction, find the following (A) What is the final position of the sprinter measured from the origin in meters if he starts 2 meters from the origin at time equal zero seconds? (B) What is the total distance traveled by the sprinter in meters? Report answer to 3 sig figs. (C) Calculate the different constant accelerations present. 4 x-Velocity (m/s) DWN HOHNW -3 -4 1 2 3 4 Time (s) 5 1 8

A ball moves along a 1D coordinate system with the following motion parameters at time t = 0 s: x₁ = 1.9 m and vo = 0 m/s. The ball has a constant acceleration of 1.1 m/s2 during the entire motion which occurs over a time of 1.2 s. Assume that an error in position of 4% is acceptable in this application over the entire motion. How many rows N will be needed in the table to model the entire motion to within the required error even though you are leaving out the final term of 1/2 a (At )²) present in the exact position expression?