dist Write the equations for (t) and r(t) in column vector form for simple projectile motion.
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- For any vector quantity, be sure to always include the magnitude and direction. tyThe position vector is r = (3t3 - 2t)i + (2t+1)j (above r,i,j has Vector symbol) Determine the velocity vector at t = 2.0s. Your answer should be in m/s.a projectile is launched at an angle theta with respect to the horizontal and air resistance is neglected. A) at what angle should you launch it so that it will achieve the maximum time in the air? B) what would be its range in that case?
- Suppose that the clock on our lecture room has a minute-hand length of 10 cm. (Use a coordinate system with the origin at center of clock and +x axis along the 3PM direction and the +y direction along the 12PM direction). From the 12 to 8 mark, for the tip of the minute hand: a) Sketch a vector diagram labeling ri, rf, Δr, Vi, Vf, and ΔV. b) Calculate the displacement vector in unit-vector notation. c) Calculate the average velocity vector in unit-vector notation. d) Calculate the average acceleration vector in unit-vector notation. e) Calculate magnitude and direction of the average acceleration vector. f) Calculate the magnitude and direction of the total acceleration of the tip of the minute hand at the 6 mark.I want to verify the direction for both the velocity and acceleration vector of the given vector r.please help with this question
- An object moves from position (3,4) to (6,5) in the xv plane. Find the magnitude and direction of displacement vector of the particle.Obtain expressions in component form for the position vectors having the following polar coordinates.For any vector quantity, be sure to always include the magnitude and direction. ty
- 3 parts, A projectile is shot from the edge of a cliff 115 mm above ground level with an initial speed of 65.0 m/sm/s at an angle of 35.0 ∘∘ with the horizontal, as shown in the figure (Figure 1) . d) At the instant just before the projectile hits point P, determine the magnitude of the velocity. e) At the instant just before the projectile hits point P, determine the angle made by the velocity vector with the horizontal. f) Find the maximum height above the cliff top reached by the projectile.I am working on finding the inital velocity of a class II projectile and am having trouble determining the right amount of sig figs. The taken measurements of the initial position of x goes to 4 sig figs, as well as the final position for y. With that being said, I am trying to find the initial velocity of x and y separately through trionometry. For example, if I have an equation for the initial velocity of x with an angle of 40, then Vox=Vocos40 My question is, since the measured value for my angle is two significant figures, is my answer Vox=.76Vo also in two sig figs because it goes by the two significant figures from my measured angle, or should I go to four significant figures to match my measured values for x and y?The tip of the minute hand of a clock is 7.5 in. from the center of the clock. Find the linear velocity of the tip of the minute hand in inches per minute.