The equation r(t) = (t +2) i+ (t -7) 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) = (O O i+ (O K i+ What is the acceleration vector? a(t) = (O O i+ (O k Write the velocity vector at t= 1 as a product of the speed and direction. v(1) = (O [D i+ ) i+ O k] (Type exact answers, using radicals as needed.)
The equation r(t) = (t +2) i+ (t -7) 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) = (O O i+ (O K i+ What is the acceleration vector? a(t) = (O O i+ (O k Write the velocity vector at t= 1 as a product of the speed and direction. v(1) = (O [D i+ ) i+ O k] (Type exact answers, using radicals as needed.)
The equation r(t) = (t +2) i+ (t -7) 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) = (O O i+ (O K i+ What is the acceleration vector? a(t) = (O O i+ (O k Write the velocity vector at t= 1 as a product of the speed and direction. v(1) = (O [D i+ ) i+ O k] (Type exact answers, using radicals as needed.)
The equation r(t)=(t+2) i+t2−7 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.
Transcribed Image Text:The equation r(t) = (t + 2) i + (t - 7) 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) =
i+ () j+
k
What is the acceleration vector?
a(t) =
i+
k
Write the velocity vector at t = 1 as a product of the speed and direction.
v(1) = (O [O i+
(Type exact answers, using radicals as needed.)
O i+ (O k]
Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.
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![The equation r(t) = (t + 2) i + (t - 7) 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) =
i+ () j+
k
What is the acceleration vector?
a(t) =
i+
k
Write the velocity vector at t = 1 as a product of the speed and direction.
v(1) = (O [O i+
(Type exact answers, using radicals as needed.)
O i+ (O k]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F153086b2-5c1e-4e85-a5e4-d16ab9b700c1%2F2c381838-7a96-4c25-9217-970381dce914%2Fnqs9ix8_processed.png&w=3840&q=75)
