1. On level ground a shell is fired with an initial velocity of 37.0 m/s at 70.0
ID: 1328386 • Letter: 1
Question
1. On level ground a shell is fired with an initial velocity of 37.0 m/s at 70.0 above the horizontal and feels no appreciable air resistance.
At its highest point, find the horizontal and vertical components of its acceleration.
Enter your answers numerically separated by a comma
2. A "moving sidewalk" in an airport terminal building moves at a speed of 1.4 m/s and is of length 35.0 m. A woman steps on at one end and walks at a speed 1.7 m/s relative to the moving sidewalk.
How much time does she require to walk from one end to the other if she walks opposite to the direction the sidewalk is moving?
3. It is common to see birds of prey rising upward on thermals. The paths they take may be spiral-like. You can model the spiral motion as uniform circular motion combined with a constant upward velocity. Assume a bird completes a circle of radius 6.00
m every 5.00 sand rises vertically at a rate of 3.00 m/s.
Find the direction of the bird's acceleration.
Express your answer using one significant figure.
Explanation / Answer
1)
at its highest point
horizontal component of accelaration ax = 0 m/s^2
vertical component of asccelaration is ay = 9.8 m/s^2
2) time required is 35/(1.7+1.4) = 11.3 s
3) velocity along the tangent is v = 2*pi*r/T = 2*3.142*6/5 = 7.54 m/s
theta = atan(3/7.54) = 21.7 degrees
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