Calculus
7th Edition
ISBN: 9781524916817
Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE
Publisher: Kendall Hunt Publishing
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Chapter 10.2, Problem 38PS
To determine
To find: the position
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4 Suppose the position vector of a particle in space at time t is given by: r =
(12t,-312,-8t/2)
(a) Find the particle's velocity and acceleration vectors.
(b) Find the particle's speed and direction of motion.
The position of a particle in the xy-plane
t time t is r(t) = (e') i+
i. Find an equation in x and y whose graph is the path of the particle. Then find the particle's velocity and acceleration vectors at t= In 7.
The equation for the path of the particle is y =
The velocity vector at t= In 7 is v = ( )i+( )j.
(Simplify your answers.)
The acceleration vector at t= In 7 is a= ()i+( )i.
(Simplify your answers.)
The equation r(t) = (3t + 9) i + (3t - 2) j+ (2t) k is the position of a particle in space at time t. Find the particle's velocity and acceleration vectors. Then write the particle's velocity at t= 1 as a product of its speed
and direction.
.....
What is the velocity vector?
v(t) =
Di+ O i+ (O K
What is the acceleration vector?
a(t) = (O i+ (O+ (L) K
Write the velocity vector at t= 1 as a product of the speed and direction.
v(1) = O [D i+Oi•O k]
(Type exact answers, using radicals as needed.)
Chapter 10 Solutions
Calculus
Ch. 10.1 - Prob. 1PSCh. 10.1 - Prob. 2PSCh. 10.1 - Prob. 3PSCh. 10.1 - Prob. 4PSCh. 10.1 - Prob. 5PSCh. 10.1 - Prob. 6PSCh. 10.1 - Prob. 7PSCh. 10.1 - Prob. 8PSCh. 10.1 - Prob. 9PSCh. 10.1 - Prob. 10PS
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