Answer
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It's 61.5m
by solving simultaneously equations
29+d = 6t (bear)
d=4.1t (tourist)
1500m = 1 sec
9000m/1500 = 6
So, it would take 6 sec to go 9000m
Answer:
∆v = 61.0 m/s
θ = 305°
Explanation:
Given;
initial velocity u= 50.0 m/s angle 270°
Final velocity v = 35.0 m/s angle 180°
∆v = v - u ........1
Resolving into x and y axis;
For y axis
∆vy = vsin180 - usin270
∆vy = 0 - (-50) = 50 m/s
x axis;
∆vx = vcos180 - ucos270
∆vx = -35 - 0= -35m/s
Magnitude of ∆v;
∆v = √(-35^2 + 50^2)
∆v = 61.0 m/s
Direction;
Tanθ = ∆vy/∆vx
θ = taninverse (50/-35)
θ = -55°
θ = 360-55 = 305°
Answer:
The speed of the ball B is 6.4 m/s. The direction is 50 degrees counterclockwise.
Explanation:
Assuming the collision is elastic, use the conservation of momentum to solve this problem. The conservation law implies that:

(the total momentum of the two balls is the same before (index 0) and after (index 1) the collision). Since B is stationary and A and B have the same mass, this simplifies to:

and allows us to determine the velocity of ball B after the collision:

The above involves vectors. Your problem suggests to use the component method, which I am assuming means solving the above equation separately along the x and y axes. Define x to align with the original line of motion of the ball A before the collision, and y to be perpendicular to x, pointing up:

We just need to compute the x- and y-components of the known velocity of the ball A. Drs. Sine and Cosine come to help here.

so

The speed of the ball B is
. The direction (angle from horizontal) is
, i.e., 50 degrees counterclockwise.