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(0, 0, 0) A small dense ball with mass 2.1 kg is thrown with initial velocity (8, 7, 0) m/s at time t = 0 at a location we choose to call the origin Air resistance is negligible. (a) When the ball reaches its maximum height, what is its velocity (a vector)? It may help to make a simple diagram. (Express your answer in vector form.) <8, 0, 0> m/s (b) When the ball reaches its maximum height, what is t? You know how vy depends on t, and you know the initial and final velocities. 0.714 (c) Between the launch at t = 0 and the time when the ball reaches its maximum height, what is the average velocity (a vector)? You know how to determine average velocity when velocity changes at a constant rate. (Express your answer in vector form.) 8, 3.5, 0> m/s (d) When the ball reaches its maximum height, what is its location (a vector)? You know how average velocity and displacement are related. (Express your answer in vector form.) 5.71, 2.49, 0 > m (e) At a later time the ball's height y has returned to zero, which means that the average value of vy from t = 0 to this time is zero. At this instant, what is the time t? S (f) At the time calculated in part (e), when the ball's height y returns to zero, what is x? (This is called the "range" of the trajectory.) m (g) At the time calculated in part (e), when the ball's height y returns to zero, what is vy? (Indicate the direction with the sign of your answer.) m/s (h) What was the angle to the x axis of the initial velocity? oCounterclockwise from the +x axis (i) What was the angle to the x axis of the velocity at the time calculated in part (e), when the ball's height y returned to zero? counterclockwise from the +x axis

(0, 0, 0) A small dense ball with mass 2.1 kg is thrown with initial velocity (8, 7, 0) m/s at time t = 0 at a location we choose to call the origin Air resistance is negligible. (a) When the ball reaches its maximum height, what is its velocity (a vector)? It may help to make a simple diagram. (Express your answer in vector form.) <8, 0, 0> m/s (b) When the ball reaches its maximum height, what is t? You know how vy depends on t, and you know the initial and final velocities. 0.714 (c) Between the launch at t = 0 and the time when the ball reaches its maximum height, what is the average velocity (a vector)? You know how to determine average velocity when velocity changes at a constant rate. (Express your answer in vector form.) 8, 3.5, 0> m/s (d) When the ball reaches its maximum height, what is its location (a vector)? You know how average velocity and displacement are related. (Express your answer in vector form.) 5.71, 2.49, 0 > m (e) At a later time the ball's height y has returned to zero, which means that the average value of vy from t = 0 to this time is zero. At this instant, what is the time t? S (f) At the time calculated in part (e), when the ball's height y returns to zero, what is x? (This is called the "range" of the trajectory.) m (g) At the time calculated in part (e), when the ball's height y returns to zero, what is vy? (Indicate the direction with the sign of your answer.) m/s (h) What was the angle to the x axis of the initial velocity? oCounterclockwise from the +x axis (i) What was the angle to the x axis of the velocity at the time calculated in part (e), when the ball's height y returned to zero? counterclockwise from the +x axis

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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(0, 0, 0) A small dense ball with mass 2.1 kg is thrown with initial velocity (8, 7, 0) m/s at time t = 0 at a location we choose to call the origin Air resistance is negligible. (a) When the ball reaches its maximum height, what is its velocity (a vector)? It may help to make a simple diagram. (Express your answer in vector form.) <8, 0, 0> m/s (b) When the ball reaches its maximum height, what is t? You know how vy depends on t, and you know the initial and final velocities. 0.714 (c) Between the launch at t = 0 and the time when the ball reaches its maximum height, what is the average velocity (a vector)? You know how to determine average velocity when velocity changes at a constant rate. (Express your answer in vector form.) 8, 3.5, 0> m/s (d) When the ball reaches its maximum height, what is its location (a vector)? You know how average velocity and displacement are related. (Express your answer in vector form.) 5.71, 2.49, 0 > m (e) At a later time the ball's height y has returned to zero, which means that the average value of vy from t = 0 to this time is zero. At this instant, what is the time t? S (f) At the time calculated in part (e), when the ball's height y returns to zero, what is x? (This is called the "range" of the trajectory.) m (g) At the time calculated in part (e), when the ball's height y returns to zero, what is vy? (Indicate the direction with the sign of your answer.) m/s (h) What was the angle to the x axis of the initial velocity? oCounterclockwise from the +x axis (i) What was the angle to the x axis of the velocity at the time calculated in part (e), when the ball's height y returned to zero? counterclockwise from the +x axis
Transcribed Image Text:(0, 0, 0) A small dense ball with mass 2.1 kg is thrown with initial velocity (8, 7, 0) m/s at time t = 0 at a location we choose to call the origin Air resistance is negligible. (a) When the ball reaches its maximum height, what is its velocity (a vector)? It may help to make a simple diagram. (Express your answer in vector form.) <8, 0, 0> m/s (b) When the ball reaches its maximum height, what is t? You know how vy depends on t, and you know the initial and final velocities. 0.714 (c) Between the launch at t = 0 and the time when the ball reaches its maximum height, what is the average velocity (a vector)? You know how to determine average velocity when velocity changes at a constant rate. (Express your answer in vector form.) 8, 3.5, 0> m/s (d) When the ball reaches its maximum height, what is its location (a vector)? You know how average velocity and displacement are related. (Express your answer in vector form.) 5.71, 2.49, 0 > m (e) At a later time the ball's height y has returned to zero, which means that the average value of vy from t = 0 to this time is zero. At this instant, what is the time t? S (f) At the time calculated in part (e), when the ball's height y returns to zero, what is x? (This is called the "range" of the trajectory.) m (g) At the time calculated in part (e), when the ball's height y returns to zero, what is vy? (Indicate the direction with the sign of your answer.) m/s (h) What was the angle to the x axis of the initial velocity? oCounterclockwise from the +x axis (i) What was the angle to the x axis of the velocity at the time calculated in part (e), when the ball's height y returned to zero? counterclockwise from the +x axis
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