Question

For the curve x = etcost, y = etsint, z= et
=
Find the velocity and
acceleration of the particle moving on the curve at t=0.

Answer 1

at t=π/4

y=e  

t

sint

dl

dy

​

=e  

t

(sin t+cos t)

dl

dx

​

=d  

t

(cos t+sin t)

dx

dy

​

=  

cos t−sin t

sin t+cos t

​

 

=α

∴tan  

−1

(∞)=π/2

hope it helps....