Question

1. It

Answer 1

1) vx = 82*cos(15 degrees)= 79.2 m/s

vy = 82*sin(15 degrees)= 21.2 m/s

2)
a)
v = dr/dt = (5.42 i + 0 j - 2.48 t k) m/s

b)
a = dv/dt = (0 i + 0 j - 2.48 k) m/s^2

c)

mag v = sqrt(5.42^2 + (2.48*3.8)^2)= 10.87 m/s

d)

average velocity = delta r/delta t

dx/dt = (5.42*4.3 - 5.42*0.6)/(4.3-0.6)= 5.42 m/s

dy/dt = (8.32-8.32)/(4.3-0.6) = 0

dz/dt = (-1.24*4.3^2 +1.24*0.6^2)/(4.3-0.6)= -6.075

average v = 5.42 i m/s - 6.075 k m/s

e)

average a = delta v/delta t
ax = (5.42 - 5.42)/(4.3-0.6) = 0

ay = (-2.48*4.3 + 2.48*0.6)/(4.3-0.6)= -2.48 m/s^2

so a = -2.48 m/s^2 k

3)

so xnet = 1.8 cos(45) = 1 + x

x = 1.8*cos(45) -1= -0.0544 m/s

ynet = 1.8*sin(45) = 0.946 m/s

mag = sqrt(0.946^2 + 0.0544^2)= 0.948 m/s

direction = arctan(y/x) = arctan(0.946/-0.0544)= 180-86.71= 93.29 degrees

b) t = y/vy = 350/0.946= 370 s