The particle has the acceleration a(t) = -22k, initial velocity v(0) = i + j, and initial position r(0) = 4i. Find the v
Posted: Wed Jul 06, 2022 11:44 am
- The Particle Has The Acceleration A T 22k Initial Velocity V 0 I J And Initial Position R 0 4i Find The V 1 (41.19 KiB) Viewed 13 times
Projectile Motion: Airplanes A plane is flying at an elevation of h = 5 km with a constant horizontal speed of 400 km/h toward a point directly above its target T. See the figure. At what angle of sight a should a package be released in order to strike the target? (Use decimal notation. Give your answer to three decimal places. Assume g 127008 km/h².) α = radians
(a) Determine the velocity, acceleration, and speed of a particle whose motion is along the plane curve traced out by vector function r. r(t) = 4 sin(t)i + 7 cos(t)j + sin (21)k (Give your answer using component form or standard basis vectors. Express numbers in exact form. Use symbolic notation and fractions where needed. Enter 0 for a null vector.) v(t) = a(t) || (Express numbers in exact form. Use symbolic notation and fractions where needed.) v(1): = (b) Calculate the velocity, acceleration, and speed of the particle when t = 1. (Give your answer using component form or standard basis vectors. Express numbers in exact form. Use symbolic notation and fractions where needed.)
v ( ² ) = a (7) = (Express numbers in exact form. Use symbolic notation and fractions where needed.) v ( 7 ) =
A particle of mass m is moving along the curve traced out by the vector function r(t) = esti + etj. Use Newton's Second Law of Motion, F = ma, to find the force acting on the particle at any time 1. (Use m for mass. Give your answer using component form or standard basis vectors. Express numbers in exact form. Use symbolic notation and fractions where needed. Enter 0 for a null vector.) F(t)= Find the magnitude of the particle's acceleration at any time 1. (Express numbers in exact form. Use symbolic notation and fractions where needed.) ||a(1)|| =