1. An airplane is traveling 835 km/h in a direction 41.5 west of north PART A Fi
ID: 1878581 • Letter: 1
Question
1. An airplane is traveling 835 km/h in a direction 41.5 west of northPART A Find the components of the velocity vector in the northerly and westerly directions. Enter your answers using three significant figures separated by a comma.
PART B How far north and how far west has the plane traveled after 4.00 h? Enter your answers using three significant figures separated by a comma.
BOTH QUESTIONS NEED TWO ANSWERS.
2. A football is kicked at ground level with a speed of 17.0 m/s at an angle of 38.5 to the horizontal. How much later does it hit the ground? Express your answer using three significant figures and include the appropriate units.
3. A projectile is fired with an initial speed of 36.5 m/s at an angle of 44.1 above the horizontal on a long flat firing range.
Determine the maximum height reached by the projectile. Express your answer using three significant figures and include the appropriate units. 1. An airplane is traveling 835 km/h in a direction 41.5 west of north
PART A Find the components of the velocity vector in the northerly and westerly directions. Enter your answers using three significant figures separated by a comma.
PART B How far north and how far west has the plane traveled after 4.00 h? Enter your answers using three significant figures separated by a comma.
BOTH QUESTIONS NEED TWO ANSWERS.
2. A football is kicked at ground level with a speed of 17.0 m/s at an angle of 38.5 to the horizontal. How much later does it hit the ground? Express your answer using three significant figures and include the appropriate units.
3. A projectile is fired with an initial speed of 36.5 m/s at an angle of 44.1 above the horizontal on a long flat firing range.
Determine the maximum height reached by the projectile. Express your answer using three significant figures and include the appropriate units.
PART A Find the components of the velocity vector in the northerly and westerly directions. Enter your answers using three significant figures separated by a comma.
PART B How far north and how far west has the plane traveled after 4.00 h? Enter your answers using three significant figures separated by a comma.
BOTH QUESTIONS NEED TWO ANSWERS.
2. A football is kicked at ground level with a speed of 17.0 m/s at an angle of 38.5 to the horizontal. How much later does it hit the ground? Express your answer using three significant figures and include the appropriate units.
How much later does it hit the ground? Express your answer using three significant figures and include the appropriate units.
3. A projectile is fired with an initial speed of 36.5 m/s at an angle of 44.1 above the horizontal on a long flat firing range.
Determine the maximum height reached by the projectile. Express your answer using three significant figures and include the appropriate units.
Explanation / Answer
1.velocity along northern direction is, V is the actual velocity and theta (@) is the angle between the actual velocity and positive y axis.
North component velocity = (cos 41.5 x 835) = (1.4 x 625.178) = 625.378 km/h
West component velocity = (sin 41.5 x 835) = 553.2877 km/h
after 4 hour distance covered by north coponent =625.378*4=2501.512
after 4 hour distance covered by south coponent=553.2877*4=2213.1508
so Dnorth-Dsouth= 2501.512-2213.1508288.36km
2.by equation we have
y= vsin(@)t+ 0.5 at^2
for hitting the ground y=0
which gives t= -2vsin(@)/g
here g= -9.8m/s (g is acting downbard)
t=2.159 sec
3. Hmax= vsin(@)^2/2g
=(36.5sin(44.1))^2/2(9.8)
=32.918m
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