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(1 point) Consider a cannonball launched along the path p(t) (400t + 70, 300t – 350,...
Consider the following function. f(t)4t5 Find its average rate of change over the interval [1, 4] At Compare this rate with the instantaneous rates of change at the endpoints of the interval f(4) Need Help? Read It Watch It Talk to a Tutor Consider the following function f(x)x18x 2 Find its average rate of change over the interval [-9, 1]. Ay Ax Compare this rate with the instantaneous rates of change at the endpoints of the interval f-9) f(1) Need...
EXPLORE A projectile is launched with a launch angle of 30° with respect to the horizontal direction and with an initial speed of 10 m/s. s0 (A) How do the vertical and horizontal components of the projectile's velocity vary with time? 40 35 (B) How long does it remain in flight? 25 (C) For a given launch speed, what launch angle produces the longest time of flight? 15 10 toy CONCEPTUALIZE Consider the projectile to be a point mass that...
(1 point) A body of mass 10 kg moves in the xy-plane in a counterclockwise circular path of radius 3 meters centered at the origin, making one revolution every 11 seconds. At the time t 0, the body is at the rightmost point of the circle. A. Compute the centripetal force acting on the body at time t. B. Compute the magnitude of that force. HINT. Start with finding the angular velocity o [rad/s] of the body (the rate of...
1. A pole is held vertically by attaching wires at a height of 13.4 m above the ground. The other end of each wire is anchored in the ground at a distance of 9.54 m from the base of the pole. The pole makes a right angle with the ground. What is the length of each wire? 2. A bug crawls 2.25 m along the base of a wall. Upon reaching a corner, the bug's direction of travel changes from...