A ball is hit east from a 10 meter elevated platform with an initial velocity of...
A ball is hit east from a 10 meter elevated platform with an initial velocity of <50, 0, 30> m/s. A wind blowing to the south produces an acceleration on the ball of -1.2 m/s^2.
a. Find the velocity and position vectors for t ≥0.
b. Determine the time of flight and range of the ball.
c. Determine the maximum height.
d. If you want the ball to land due east of your initial position, determine the correction
angle.
Homework Answers
Add Answer to:
A ball is hit east from a 10 meter elevated platform with an initial velocity of...
A golf ball is hit east down a fairway with an initial speed of 56 m/s...
A golf ball is hit east down a fairway with an initial speed of 56 m/s at an initial angle of 25 (from a tee of negligible height). A crosswind blowing to the south produces an acceleration of the ball of-0.8 m/s2 a How long is the ball in the air and where does it land relative to the tee b) What is the maximum height of the ball c) Does it reach the putting green which is 325 m...
Vector function problem(Calculus 3) 8) A soccer ball is kicked from the point F(0) (0,0,0) with...
Vector function problem(Calculus 3)
8) A soccer ball is kicked from the point F(0) (0,0,0) with an initial velocity of v(0)(0,80,80) ft/s. The spin on the ball produces a constant acceleration of 1.2 ft/s2 in the x-direction. (Hint: The acceleration due to gravity is g 32 ft/s2. It acts in the downward/negative z direction. So the total constant acceleration on the ball is a(t) (1.2,0,-32).) 0 a) Find the velocity and position vectors for t b) Make a sketch of...
A ball is tossed straight upwards with an initial velocity of .30.00 metres per second from...
A ball is tossed straight upwards with an initial velocity of .30.00 metres per second from a height of 20,000 meters. Assume that the only force acting on the object is acceleration due to Earth's gravity. Write out the position and velocity functions. With what velocity does the object hit the ground? When the object hits the ground, it bounces back up with one-fourth the speed that it had when it hit the ground. Determine the height of the ball...
Example Problem: Ball on a building A ball is thrown up with an initial velocity of...
Example Problem: Ball on a building A ball is thrown up with an initial velocity of 20.0 m/s at an initial height of 50.0 m above the ground. Determine: (a) The time at which the ball reaches its maximum height. (b) Thelmaximum height. (c) The time needed for the ball to return to its initial position. (d) The ball's speed when it returns to its initial position. (e) The time at which the ball hits the ground. (f) The velocity...
If you hit a tennis ball at a horizontal 9 degree angle and it had an...
If you hit a tennis ball at a horizontal 9 degree angle and it had an initial velocity of 39 m/s. What is the Horizontal velocity, vertical velocity, height, range, flight time?
A steel ball is dropped from a diving platform (with an initial velocity of zero). Use...
A steel ball is dropped from a diving platform (with an initial velocity of zero). Use the approximate value of g = 10 m/s2. (a) Through what distance does the ball fall in the first 1.7 seconds of its flight? Incorrect: Your answer is incorrect. m (b) How far does it fall in the first 4 seconds of its flight?
A ball is thrown vertically upward with an initial position of So = 10 m. The...
A ball is thrown vertically upward with an initial position of So = 10 m. The maximum height reached by the ball is 30 m. a. Determine the initial velocity of the ball. b. Determine the time of flight when it returns to its initial position. c. Determine the time of flight when it hits the ground. d. Determine the velocity just before it hits the ground. Check your answer using a different equation. e. Plot v(t) and s(t) from...
2) A projectile is launched into the air from ground level heading east. The projectile is...
2) A projectile is launched into the air from ground level heading east. The projectile is launched at an angle of 45° with an initial velocity of 20 m/s. The wind is blowing the projectile in the north direction, with an acceleration of 2 m/s?. Assuming gravity is pulling the projectile downward toward the ground at a constant 9.8m/s", where does the projectile land in relation to its starting position?
2) A projectile is launched into the air from ground level heading east. The projectile is...
2) A projectile is launched into the air from ground level heading east. The projectile is launched at an angle of 45° with an initial velocity of 20 m/s. The wind is blowing the projectile in the north direction, with an acceleration of 2 m/s?. Assuming gravity is pulling the projectile downward toward the ground at a constant 9.8m/s”, where does the projectile land in relation to its starting position?
2) A projectile is launched into the air from ground level heading east. The projectile is...
2) A projectile is launched into the air from ground level heading east. The projectile is launched at an angle of 45° with an initial velocity of 20 m/s. The wind is blowing the projectile in the north direction, with an acceleration of 2 m/s. Assuming gravity is pulling the projectile downward toward the ground at a constant 9.8m/s?, where does the projectile land in relation to its starting position?
A golf ball is hit east down a fairway with an initial speed of 56 m/s at an initial angle of 25 (from a tee of negligible height). A crosswind blowing to the south produces an acceleration of the ball of-0.8 m/s2 a How long is the ball in the air and where does it land relative to the tee b) What is the maximum height of the ball c) Does it reach the putting green which is 325 m...
Vector function problem(Calculus 3)
8) A soccer ball is kicked from the point F(0) (0,0,0) with an initial velocity of v(0)(0,80,80) ft/s. The spin on the ball produces a constant acceleration of 1.2 ft/s2 in the x-direction. (Hint: The acceleration due to gravity is g 32 ft/s2. It acts in the downward/negative z direction. So the total constant acceleration on the ball is a(t) (1.2,0,-32).) 0 a) Find the velocity and position vectors for t b) Make a sketch of...
A ball is tossed straight upwards with an initial velocity of .30.00 metres per second from a height of 20,000 meters. Assume that the only force acting on the object is acceleration due to Earth's gravity. Write out the position and velocity functions. With what velocity does the object hit the ground? When the object hits the ground, it bounces back up with one-fourth the speed that it had when it hit the ground. Determine the height of the ball...
Example Problem: Ball on a building A ball is thrown up with an initial velocity of 20.0 m/s at an initial height of 50.0 m above the ground. Determine: (a) The time at which the ball reaches its maximum height. (b) Thelmaximum height. (c) The time needed for the ball to return to its initial position. (d) The ball's speed when it returns to its initial position. (e) The time at which the ball hits the ground. (f) The velocity...
2) A projectile is launched into the air from ground level heading east. The projectile is launched at an angle of 45° with an initial velocity of 20 m/s. The wind is blowing the projectile in the north direction, with an acceleration of 2 m/s?. Assuming gravity is pulling the projectile downward toward the ground at a constant 9.8m/s", where does the projectile land in relation to its starting position?
2) A projectile is launched into the air from ground level heading east. The projectile is launched at an angle of 45° with an initial velocity of 20 m/s. The wind is blowing the projectile in the north direction, with an acceleration of 2 m/s?. Assuming gravity is pulling the projectile downward toward the ground at a constant 9.8m/s”, where does the projectile land in relation to its starting position?
2) A projectile is launched into the air from ground level heading east. The projectile is launched at an angle of 45° with an initial velocity of 20 m/s. The wind is blowing the projectile in the north direction, with an acceleration of 2 m/s. Assuming gravity is pulling the projectile downward toward the ground at a constant 9.8m/s?, where does the projectile land in relation to its starting position?
Most questions answered within 3 hours.
-
1. What is the meaning of the term communication style?
2. What are the benefits to...
asked 28 minutes ago -
9.) You are buying a car that cost $26,500. You make payments of
$412 each month...
asked 53 minutes ago -
. Suppose a discrete random variable has probability
distribution
P(x) = .2 if x = 0...
asked 2 hours ago -
Problem #1
The area between Z = 0 and Z = 2.50
The area between Z...
asked 1 hour ago -
Under the influence of its drive force, a snowmobile is moving
at a constant velocity along...
asked 2 hours ago -
Why do organizations decline? What steps can top
management take to halt, decline, and restore organizational...
asked 2 hours ago -
What mechanisms Drive speciation??
(I.e. what was Dawins theory on the orgin of species, and how...
asked 4 hours ago -
The manager at a car assembly plant believes that the mean
assembly time for a car...
asked 4 hours ago -
Which of the following is true of electron capture?
A) It decreases the nuclide's mass number...
asked 6 hours ago -
Assuming an efficiency of 43.10%, calculate the actual yield of
magnesium nitrate formed from 114.9 g...
asked 6 hours ago -
The highly pathogenic bacterium Clostridium
perfringens causes gangrene, a disease that results in the
destruction of...
asked 8 hours ago -
In the context of situation analysis, which of the following is
a category for analysis in...
asked 8 hours ago