A jogger runs along the dike with a speed of 4.2 m/s in a direction 30 degrees above the x-axis.  What is the y component of the jogger's velocity?  Give your answer to one decimal place.

A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of 17.0 m/s. The cliff is h = 51.0 m above a flat horizontal beach, as shown in the figure below. How long after being released does the stone strike the beach below the cliff? (s) With what speed and angle of impact does the stone land?      ( m/s)      ( ° below the horizontal)

A canon was launched with an initial speed of 104 m/s at an angle of 41.1° above the horizontal. The canon hit the top of a building that is 961 m away from where the canon was launched. What is the height of the building? 238.47 m 419.17 m 101.56 m 538.50 m

A plane releases a package from an altitude of 300 meters. At the time of release, both the plane and package are moving at 100 meters per second, directed at an angle of 20 degrees below the horizontal. How long is the package in the air? Find the magnitude and direction of the velocity of the package just before impact? Draw a sketch or diagram of the problem. Thank you for your help.

b) I(1, 0, 0), J(0, 1, 0), and K(0, 0, 1) 6, A helicopter takes off at a ground velocity of 150 km/h. It climbs at an angle of 48° toward the east. A 17-km/h wind is blowing from the south. Determine the resultant air and ground velocities. Include a diagram in your solution. The Eiffel Tower is 324 m tall. Denise is

A small child is learning to ride a bike for the first time. Her dad decides it would be a good idea to start her on a small hill. The hill is inclined at 3.40° to the horizontal. The child starts partway down the hill, 4.00 m away from her dad, who stays at the top. She starts to wobble, so her dad sprints toward her from rest with an acceleration of 3.80 m/s2. How far has the child gone before her parent catches her?

A ball is thrown eastward into the air from the origin (in the direction of the positive x-axis). The initial velocity is 40 i +64 k, with speed measured in feet per second. The spin of the ball results in a southward acceleration of 4 ft/s2, so the acceleration vector is a = -4 j - 32 k. Where does the ball land? (Round your answers to one decimal place.) X ft from the origin at an angle of 5.7 X from the eastern direction toward the south. 80.4 With what speed does the ball hit the ground? (Round your answer to one decimal place.) 61.3 X ft/s Submit Answer

Trent is running along a circular track that has a radius of 45 meters. Trent starts at the 3-o'clock position and travels in the CCW direction, stopping after 106 meters. Imagine an angle with a vertex at the center of the circular track that subtends the path Trent has traveled. When Trent stops, what is his vertical distance from the center of the track?

An airplane takes off and flies upward at an angle of 21° with a constant speed of 262 m/s. While the plane is flying upward, a piece of the engine falls off when the plane reaches a height of 860 m. a) How long does it take the piece of the engine to reach the ground? Give your answer in seconds. b) What is the horizontal distance covered by the piece of the engine before it lands? Give your answer in meters.

A person standing 20.0 meters away from a  wall throws a stone from the ground level  at an angle of 60.0°above the horizontal with an initial speed of 25.0 m/s. The time it takes the stone to reach the wall and the   height at which the stone strikes the wall are: a.) t = 1.4 s,  y = 18.6 m b.) t=2.6s, y=11.5m c.) t = 1.6 s,  y = 22.1 m d.) t=6.8s, y=34.2m