Particles A and B are launched simultaneously from rest at distances 100 m respectively east and north of the origin. Particle A has acceleration 2 m s² in a north-eastward direction and particle B has acceleration 4 m s² in an eastward direction. Find the shortest distance between the particles in the subsequent motion. B N E A
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- At the instant shown in (Figure 1), the car at A is traveling at 10 m/s around the curve while increasing its speed at 5.5 m/s². The car at B is traveling at 25.5 m/s along the straightaway and increasing its speed at 2 m/s². Figure B VB 4 100 m ·x 100 m 45° < 1 of 1 VA = 10 m/s Express your answer to three significant figures and include the appropriate units. ► View Available Hint(s) VA/B = Submit LO Di μÀ Part B μ Ω % Value Previous Answers X Incorrect; Try Again 0 Å m SHow would I begin to solve this problem? In Example 2.6, we considered a simple model for a rocket launched from the surface of the Earth. A better expression for a rocket's position measured from the center of the Earth is given by y(t) = (RE3/2 + 3*(g/2)1/2 REt)2/3 where RE is the radius of the Earth (6.38 ✕ 106 m) and g is the constant acceleration of an object in free fall near the Earth's surface (9.81 m/s2). (a) Derive expressions for vy(t) and ay(t). (Use the following as necessary: g, RE, and t. Do not substitute numerical values; use variables only.)at an instant in time a particles velocity is v = (2.00i + 1.00j) m/s, while it’s acceleration is a = -1.00i m/s^2. at what rate is the particle speeding up / slowing down and what’s the radius of the curve on the particles trajectoryA particle moves along a circular path having a radius of 1.1 m. At an instant when the speed of the particle is equal to 3.22 m/s and changing at the rate of 6.46 m/s², what is the magnitude of the total acceleration of the particle?The figure below shows an object initially at point A traveling in the +x-direction. It turns in a circular path at constant speed until it is traveling in the +y-direction at point C. The quarter-circle arc from A to C is 239 m in length, and the particle moves from A to C in 33.0 s. Point B on the path is 35.0° below the x-axis. O 35.0⁰ magnitude direction C B x (a) What is the speed of the object (in m/s)? m/s (b) What is the magnitude and direction of the acceleration when the object is at point B? (Enter the magnitude in m/s² and the direction in degrees counterclockwise from the +x-axis.) m/s² ° counterclockwise from the +x-axisa m/s t A particle moves in a straight line with the acceleration shown in the figure. Knowing that the particle starts from the origin with v, = -2 ms, (a) construct the v-t and X-1 curves for 0