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- 2.2 Speed and Velocity An object's position is given by x = 5 O 9 m/s, 9 m/s O-3 m/s, 3 m/s O -6 m/s, 6 m/s O-10 m/s, 10 m/s 5-11212²1 Att 3 s, its velocity and speed are Save for Later AIt says that these are wrong2. The position of a drone as a function of time is given by *(t) = ( 8 i + 1.5 k) + (-3 î + 2 j) t – 0.5 t2 j The units are missing in the constant coefficients above, i.e., "0.5" should be "0.5 m/s2". Include the correct units on all the constant coefficients in your answers below. a. What is the x-position of the drone as a function of time? b. What is the y-position of the drone as a function of time? c. How far away is the drone from its starting position at t = 3s? d. What is the acceleration vector? е. What is the velocity vector as a function of time? (One way to do this is to take the time derivative of the position vector.) f. Make a sketch of the x, y, and z positions of the drone as function of time. You just need the general shape. time time time
- 3. The position of a drone as a function of time is given by m m *(t) = ( 8 i – 5 j+ 1.5 k) m + (-2 î + 4 j) t - t2j a. What is the x-position of the drone as a function of time? b. What is the y-position of the drone as a function of time? c. How far away is the drone from its starting position at t = 3s? What is the acceleration vector? e. What is the velocity vector as a function of time? f. At what time is the speed equal to 4 m/s?ΔΔΔΔΔΔΔΔΔΔΔΔΔΔΔΔΔΔΔΔΔΔΔΔΔΔΔΔΔ Two vehicles Pictured below are 3.5 miles apart. D take them to meet - How long will it Ε give 15 mph - answer in seconds - Ε each 300 mph ΜA weight is oscillating up and down on spring. It's displacement from rest is given by the function d(t)=sin6t-4cos6t, where d is in centimetres and t is time in seconds. a. what is the rate of change of the displacement after 1s b. Determine the maximum and minimum displacements and when they first occur.
- An airline passenger jet is travelling at a cruising speed of 907 km/h. If the local speed of sound is 313 m/s, what is the Mach number of the jet? Mach number= air speed of object/ local speed of object"O. LTE A 12:24 [Template] Copy.. First Six Weeks Physics Review Position = where an object is at any given point of time (can be positive or negative) Distance = total ground covered during an object's motion Speed = distance/time; standard unit is m/s Displacement is the change in nosition fromA to R. Displacement = change in position of an object; how far out okplace an object is with direction Velocity = displacement/time; standard unit is m/s; has direction Distance is the thtatamount position (m) 80 60 40 20 - 20 -40 10 20 30 40 50 (sec) We can tell an objects What is the object's displacement from 10 to 15 seconds? by studying the slope of a position v. time graph. What is the object's displacement from 15 s to 40 s? What is the object's velocity from 15 s to 40 s? Is it positive or negative? At what point is the object's speed the fastest? Acceleration is the rate of change of velocity. It occurs when an object speeds up, slows down, or changes direction. Has direction. a = (Vf…Question 4 A stretched string of length 50 cm is plucked a quarter of the way along its length to give an initial velocity of 10 m/s. Find expressions for the coefficients an and bn. a. an = 0 bn = 0 -0.5 b. an = 0.25 y(x,0) sin(kx)dx, b₁ = 0 4 0.5 = c. an = 0, bn foy(x,0) sin(kx) dx @n 4 -0.5 d. an = So y(x,0) sin(kx) dx, y(x,0)sin(kx)dx Wn b₁ =0.255 0
- 15.C. Suppose that a car moves one-dimensionally along the x-axis and has position equation given by x = 15-2t², velocity equation v = -4t, and acceleration equation a = -4 all in the standard metric units. = a. Compute its position, velocity and acceleration at 2s b. If the positive direction of the axis is to the right, then state if the car is moving toward increasing position (right) or decreasing position (left) at 2s. c. Draw the car below and draw three vectors: position, velocity, and acceleration at 2s -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 →→→meter 6A Physics A (SCVA 22-2 X A Physics A (SCVA 22-2 X с S 20 MCPASD Staff-Cal.. M Inbox (28)-msabol.... Tripfinder FSI Calendar Middleton-Cross Pl... C Infinite Campus O 0.62 s 2.16 s 2.24 s Projectile motion exa accelerate-scva.vschool.com/student/183747500/activity/3aff12c7ee764fdc89fbf103a92d1bef 0.77 s Projectile Motion- Part 1 Quiz Physics A (SCVA 22-23 FTS) / Module 3 X Matching Family Paje X BA soccer player kicks O X Thrillshare projectile 1 answer.txt X Mobile22 Account 5. Gabriel kicks a soccer ball so that it has an initial velocity 22 meters pel second, at an angle of 16° above the ground. How much time does it take for the soccer ball to reach its maximum height? St. Croix Central High Events | Glacier Cre PREVIOUS Ⓡ 5 of 10 OT NEXT. Aesop A Oct 2See photo for full details