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I walk 450 steps at 25 degrees SE Then 750 steps at 72 degrees NW Lastly 700 steps at 15 degrees SW What it’s my orientation ? How many steps to return to starting point ? Please use the equations provided

I walk 450 steps at 25 degrees SE Then 750 steps at 72 degrees NW Lastly 700 steps at 15 degrees SW What it’s my orientation ? How many steps to return to starting point ? Please use the equations provided

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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I walk 450 steps at 25 degrees SE Then 750 steps at 72 degrees NW Lastly 700 steps at 15 degrees SW What it’s my orientation ? How many steps to return to starting point ? Please use the equations provided
**Equations:** **Vector components, standard Cartesian plane:** - \( V_x = V \cos \theta \) - \( V_y = V \sin \theta \) - \( V_x^2 + V_y^2 = V^2 \) - \( \tan \theta = V_y/V_x \) **Constant linear acceleration:** - \( v = v_0 + at \) - \( d = d_0 + v_0 t + \frac{1}{2} at^2 \) - \( v^2 = v_0^2 + 2a(d - d_0) \) **Projectile motion:** - \( x = x_0 + v_{0x} t \) - \( y = y_0 + v_{0y} t - \frac{1}{2} gt^2 \) - \( v_y = v_{0y} - gt \) **Rotational motion: \( 360^\circ = 2\pi \) radians** - \( \theta = s/r \) - \( \omega = v/r \) - \( \alpha = a_T/r \) - \( a_c = v^2/r = r\omega^2 \) - \( \omega = \omega_0 + \alpha t \) - \( \theta = \theta_0 + \omega_0 t + \frac{1}{2} \alpha t^2 \) - \( \omega^2 = \omega_0^2 + 2\alpha (\theta - \theta_0) \) **Newton’s Second Law of motion:** - \( \Sigma \vec{F} = m \vec{a} \) **Gravitational force, or weight:** - \( F_g = mg \) **Frictional force:** - \( F_f = \mu F_n \) **Centripetal force:** - \( F_c = mv^2/r \) **Use \( g = 10.0 \, \text{m/s}^2 \) for the acceleration due to gravity near the surface of the Earth.**
Transcribed Image Text:**Equations:** **Vector components, standard Cartesian plane:** - \( V_x = V \cos \theta \) - \( V_y = V \sin \theta \) - \( V_x^2 + V_y^2 = V^2 \) - \( \tan \theta = V_y/V_x \) **Constant linear acceleration:** - \( v = v_0 + at \) - \( d = d_0 + v_0 t + \frac{1}{2} at^2 \) - \( v^2 = v_0^2 + 2a(d - d_0) \) **Projectile motion:** - \( x = x_0 + v_{0x} t \) - \( y = y_0 + v_{0y} t - \frac{1}{2} gt^2 \) - \( v_y = v_{0y} - gt \) **Rotational motion: \( 360^\circ = 2\pi \) radians** - \( \theta = s/r \) - \( \omega = v/r \) - \( \alpha = a_T/r \) - \( a_c = v^2/r = r\omega^2 \) - \( \omega = \omega_0 + \alpha t \) - \( \theta = \theta_0 + \omega_0 t + \frac{1}{2} \alpha t^2 \) - \( \omega^2 = \omega_0^2 + 2\alpha (\theta - \theta_0) \) **Newton’s Second Law of motion:** - \( \Sigma \vec{F} = m \vec{a} \) **Gravitational force, or weight:** - \( F_g = mg \) **Frictional force:** - \( F_f = \mu F_n \) **Centripetal force:** - \( F_c = mv^2/r \) **Use \( g = 10.0 \, \text{m/s}^2 \) for the acceleration due to gravity near the surface of the Earth.**
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