An engineer designs a roller coaster so that a car travels horizontally angle of 46.0° below the horizontal. If we take the initial horizontal motion of the car to be along the +x-axis, what is the car's displacement? (Give the magnitude of your answer, in ft, to at least four significant figures and give the direction of your answer in degrees counterclockwise from the +x-axis.) 202 ft, then climbs 137 ft at an angle of 31.0° above the horizontal. It then moves 137 ft at an magnitude ft direction ° counterclockwise from the +x-axis

An engineer designs a roller coaster so that a car travels horizontally for 152 ft, then climbs 127 ft at an angle of 31.0° above the horizontal. It then moves 127 ft at an angle of 42.0° below the horizontal. If we take the initial horizontal motion of the car to be along the +x-axis, what is the car's displacement? (Give the magnitude of your answer, in ft, to at least four significant figures and give the direction of your answer in degrees counterclockwise from the +x-axis.) magnitude direction 167.6 The magnitude of the displacement is the length of the vector which goes from the starting point to the ending point. You will need to measure this distance, and multiply by your scale factor. ft 367 Measure the angle from the +x-axis to the resultant vector (drawn from the starting point to the ending point). Remember that angles measured counterclockwise from the +x-axis are negative. counterclockwise from the +x- axis Need Help? Read It

The x component of vector A is 8.7 units, and its y component is -6.5 units. What is the magnitude of A?

For vectors B = −3î − 7ĵ and A = −5î − 3ĵ, calculate the following. (a) A + B (Express your answer in vector form.) A + B =_______ Enter the magnitude and direction (in degrees counterclockwise from the +x-axis) for A + B. magnitude ______ direction ______ ° counterclockwise from the +x-axis   (b) A − B (Express your answer in vector form.) A − B =________ Enter the magnitude and direction (in degrees counterclockwise from the +x-axis) for A − B. magnitude ________ direction _______° counterclockwise from the +x-axis   (The _______ are where I am supposed to submit answers)

The figure shows a two-dimensional vector A. The x-component of A is -10.30 and the y-component is 6.45. What is the magnitude A of this vector? A = A

A vector with magnitude 6, points in a direction counterclockwise from the positive x-axis. Write the vector in component form. Give each value accurate to at least 1 decimal place.

A figure skater glides along a circular path of radius 3.93 m. (a) If she coasts around one half of the circle, find the magnitude of the displacement vector. (b) If she coasts around one half of the circle, find what distance she skated. (c) What is the magnitude of the displacement if she skates all the way around the circle?

what are the magnitude and angle of a vector with these components?  Bx= 7.8 m and By= 10.2 m

While exploring a cave, a spelunker starts at the entrance and moves the following distances. She goes 75.0 m north, 250 m east, 115 m at an angle 30.0° north of east, and 185 m south. Find the resultant displacement from the cave entrance. The figure below suggests the situation but is not drawn to scale.

Problem 2: A vector has x and y components 7.8 and 9.9 respectively. Part (a) What is the magnitude of this vector? Numeric : Anumeric value is expected and not an expression. r = Part (b) What is the direction of this vector in degrees? Numeric : A numeric value is expected and not an expression. 0 =