A ball is thrown at an angle of 45.0° from the horizontal with an initial velocity of 5.0. a. At what time will the ball reach its maximum height? b. What will be the maximum height of the ball's trajectory? c. How far will the ball travel horizontally when it reaches the maximum height of its flight?
A ball is thrown at an angle of 45.0° from the horizontal with an initial velocity of 5.0. a. At what time will the ball reach its maximum height? b. What will be the maximum height of the ball's trajectory? c. How far will the ball travel horizontally when it reaches the maximum height of its flight?
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Question
Lesson 4. Number 2 only
![Lesson 4: Motion in Three Dimensions
Assessment
Instructions: Answer the following problems on a separate sheet of paper. Show your complete
solutions and box your final answer. 5 points per correct answer.
1. The position vector of a butterfly that is flying parallel to the ground is given as
of time by
function
i= 2.90 :
(0.0900") -] - (0150)*;
т +
a. At what value of t does the velocity vector of the insect make an angle 30.0°
clockwise from the +x-axis?
b. At the time calculated in (a), what are the magnitude and direction of the
acceleration vector of the insect?
2. A ball is thrown at an angle of 45.0° from the horizontal with an initial velocity of 5.0.
a. At what time will the ball reach its maximum height?
b. What will be the maximum height of the ball's trajectory?
c. How far will the ball travel horizontally when it reaches the maximum height of its
flight?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F335aaf2a-1131-4224-bf7c-3966f1ec5b07%2F269c0c46-11d3-4df0-b752-03cdd4221627%2Flqaymns_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Lesson 4: Motion in Three Dimensions
Assessment
Instructions: Answer the following problems on a separate sheet of paper. Show your complete
solutions and box your final answer. 5 points per correct answer.
1. The position vector of a butterfly that is flying parallel to the ground is given as
of time by
function
i= 2.90 :
(0.0900") -] - (0150)*;
т +
a. At what value of t does the velocity vector of the insect make an angle 30.0°
clockwise from the +x-axis?
b. At the time calculated in (a), what are the magnitude and direction of the
acceleration vector of the insect?
2. A ball is thrown at an angle of 45.0° from the horizontal with an initial velocity of 5.0.
a. At what time will the ball reach its maximum height?
b. What will be the maximum height of the ball's trajectory?
c. How far will the ball travel horizontally when it reaches the maximum height of its
flight?
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