Aparticle starts from the origin at t = 0 with an initial velocity of 4.8 m/s along the positive x axis. if the acceleration is (-3.2 i^ + 4.6 j^)m/s2, determine (a)the velocity and (b)position of the particle at the moment it reaches its maximum x coordinate.

Part a)

Velocity = 6.9 m/s

Part b)

Position = (3.6 m, 5.175 m)

Explanation:

Initial position of the particle is ORIGIN

also it initial speed is along +X direction given as

now the acceleration is given as

when particle reaches to its maximum x coordinate then its velocity in x direction will become zero

so we will have

Part a)

the velocity of the particle at this moment in Y direction is given as

Part b)

X coordinate of the particle at this time

Y coordinate of the particle at this time

so position is given as (3.6 m, 5.175 m)

volleyball players can not touch the net while the ball is in play

emily ruth's annual premium is $1058.50

step-by-step explanation:

emily ruth is a female of 27 years age purchasing 20 year endowment insurance with face value $25000.

from the given table,

for females, the age of a male 3 years younger should be used.

so, we have to check for 24 year male for 20 year endowment.

it is 42.34 for every $1000 face value.

for a face value of $25000,

it is 25 * 42.34 = $1058.50

∴ emily ruth's annual premium is $1058.50