1. [-/1 Points] DETAILS LARCALC11 12.3.004. (a) Find the velocity vector v(f), speed s(f), and acceleration vector a[t) of the object. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The position vector r bes the path of an object moving in the xy-plane. s(t) Position Vector Point r(t) - c + (-13 + 4) (1, 3) (a) Find the velocity vector v(), speed s(), and acceleration vector a(!) of the object. (b) Evaluate the velocity vector ar in value of t. w(t) - Need Help? Read it b) Evaluate the velocity ve v(1) - a(1) 3. [-/1 Points] DETAILS LARCALC11 12.3.026. (c) Sketch a graph of the path, and sketch the MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Use the given acceleration function and initial conditions to find the velocity vector vit), and position position at time t = 2. a(t) = e'i - 6k v(0) - 21 + 51 + k. r(0) = 0 v(!) r(t) r(2) Need Help? Read " Watch 4. [-/1 Points] DETAILS LARCALC11 12.3.029. MY NOTES ASK YOUR TEACHER Use the model for and g = 32 feet per s cond per second. A baseball, hit 3 feet above the ground, leaves the bat at an angle of 45" and is caught by an outfielder 3 feet above the grou and 300 feet from home plate. What is the initial speed of the ball, and how high does it rise? (Round your answers to two decimal places.) initial speed maximum height Need Help? Read " Watch S. [-/1 Points] DETAILS LARCALC11 12.3.041 Need Help? Read it MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Use the model for projectile motion, assuming r resistance and g = 9.8 meters per second per second. Determine the maximum height and range of a projectile fired at a height of 1.5 meters above the ground with an initial speed 1 10 meters per second and at an angle of 30 above the horizontal. (Round your answers to two decimal places) . [-/1 Points] DETAILS LARCALC11 12.3.014. height range m MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Need Help? Read " Watch The position vector r describes the path of an object moving in space. Position Vector Time r(t) = 7t + +-rik (a) Find the velocity vector vit), speed s(t), and a ector a() of the object. 6. [-/1 Points] DETAILS LARCALC11 12.3.047. MY NOTES ASK YOUR TEACH Consider a particle moving on a circular path of radius b described by r(t) = b cos(otji + b sin(eat)]. where a = duft is the constant angular speed. a(t) Find the velocity vector. (b) Evaluate the velocity vector and acceleration vector of the object at the given value of t. w(t) - v(4) = Show that the velocity vector is orthogonal to r(t). r(t) . vit) =