My friend and I need urgent help with physics!
1
Vector A has magnitude 20 units and direction, counterclockwise from east, of 2.6 degrees. What is the value of its x component to 1 decimal place?
2
In Problem 1 what is its y component?
3
A vector has x component -8.6 and y component -0.7 . What is its magnitude to the nearest tenth of a unit?
4
What is the direction of the vector in Problem 3 to the nearest tenth of a degree? (Report your results in the format -180o to 180o.)
5
Two cars lost in a blinding snowstorm are traveling across a large field, each thinking they are on the road, as shown in the figure on the left. They collide. If the distance x is 188 meters and the red car is travelling at 6.7 mph, how fast to the nearest hundredth of a mph was the blue car travelling? (As unlikely as this event seems it actually happened to the problem author's wife.)
6
In the previous problem how much time passes before the cars collide to the nearest tenth of a second?
7
A baseball is thrown horizontally off a cliff with a speed of 25 m/s. What is the horizontal distance, to the nearest tenth of a meter, from the face of the cliff after 5.1 seconds?
8
In the previous problem, to the nearest tenth of a meter, how far has it fallen in that time?
9
A ball is thrown with a speed of 15 m/s and at an angle of 39 degrees. How high does it go above the cliff to the nearest tenth of a meter?
10
In the previous problem, if the ball hits the ground 2.7 seconds later, how high to the nearest tenth of a meter is the cliff?
1
Vector A has magnitude 20 units and direction, counterclockwise from east, of 2.6 degrees. What is the value of its x component to 1 decimal place?
2
In Problem 1 what is its y component?
3
A vector has x component -8.6 and y component -0.7 . What is its magnitude to the nearest tenth of a unit?
4
What is the direction of the vector in Problem 3 to the nearest tenth of a degree? (Report your results in the format -180o to 180o.)
5
Two cars lost in a blinding snowstorm are traveling across a large field, each thinking they are on the road, as shown in the figure on the left. They collide. If the distance x is 188 meters and the red car is travelling at 6.7 mph, how fast to the nearest hundredth of a mph was the blue car travelling? (As unlikely as this event seems it actually happened to the problem author's wife.)
6
In the previous problem how much time passes before the cars collide to the nearest tenth of a second?
7
A baseball is thrown horizontally off a cliff with a speed of 25 m/s. What is the horizontal distance, to the nearest tenth of a meter, from the face of the cliff after 5.1 seconds?
8
In the previous problem, to the nearest tenth of a meter, how far has it fallen in that time?
9
A ball is thrown with a speed of 15 m/s and at an angle of 39 degrees. How high does it go above the cliff to the nearest tenth of a meter?
10
In the previous problem, if the ball hits the ground 2.7 seconds later, how high to the nearest tenth of a meter is the cliff?
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To get your started:
1) Trig problem: Soh *Cah* Toa
Cos Θ = Adjacent / Hypotenuse
==>
Cos 2.6° = x / 20
2) Trig problem:
Two ways to solve, first similar to above
Sin Θ = Opposite / Hypotenuse.
Sin 2.6° = y / 20
OR Pythagorean Theorum:
x^2 + y^2 = hypotenuse ^2
1) Trig problem: Soh *Cah* Toa
Cos Θ = Adjacent / Hypotenuse
==>
Cos 2.6° = x / 20
2) Trig problem:
Two ways to solve, first similar to above
Sin Θ = Opposite / Hypotenuse.
Sin 2.6° = y / 20
OR Pythagorean Theorum:
x^2 + y^2 = hypotenuse ^2
12
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