The diagram below shows the initial velocity of an object. The speed (magnitude of the velocity) is V0 = 0.5 m/s. The angle θ = 76 degrees. The object has a constant acceleration, whose (x, y) components are a = (-1.8, -1.8) m/s2.
The components of the initial velocity are ( 0.1210 , 0.4851 ) m/s.

1. What are the components of the velocity after 4.6 seconds?
( , ) m/s
2. What is the magnitude of the acceleration? (m/s^2)
3. In which quadrant is the acceleration?

11. you want to calculate the displacement of an object thrown over a bridge. using -10 m/s2 for acceleration due to gravity, what would be the total displacement of the object if it took 8 seconds before hitting the water?

The roller coaster from problem #1 then tops a second hill at 15.0 m/s, how high is the second hill? 91.5 m 79.2 m 80.0 m 68.5 m

An engineer designs a roller coaster so that a car travels horizontally for 152 ft, then climbs 137 ft at an angle of 34.0° above the horizontal. it then moves 137 ft at an angle of 48.0° 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.)