reat Six Flags Air Racer are spun around a tall steel tower. At top speed, the planes fly at a 56-degree bank approximately 46 m from the tower. In this position, the support chains make an angle of 56 degrees with the vertical. Calculate the speed of the planes.

An airplane is flying south at a speed Vi= 25m/s. It then accelerates in a direction 10 degrees north of east with magnitude a. After t seconds, the airplane's velocity is now pointing due east. What is the airplane's speed at this point? Please draw a tail to tip diagram of the problem.

You want to know the height of a cliff so you throw a rock off the edge with an initial speed of 24.7 m/s inclined at an angle 31.2° above the horizontal. You have a friend that records that it takes 4.6 s for the rock to hit the bottom of the canyon after it is thrown. For the following questions, call up the positive y direction and make the positive x direction horizontal and towards the direction the rock is thrown. If you ignore air resistance, what is the y component of the velocity of the rock right before it hits the ground?

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 horizontal distance from the center of the track?

A ball of mass 1.6 kg and a diameter of 41.1 cm is attached to a string of length 1.1 m. It moves in a circular path at constant speed, 4.5 m above the ground. The string makes a constant angle of 42° with respect to vertical. m (a) What is the speed of the ball? (b) What is the tension in the string?

For this problem think about a long jumper who takes off and lands from different heights. This is due to the Center of Gravity being higher when they leave the ground then when they contact the sand. If the jumper has a horizontal distance traveled of 7.5 meters and an initial horizontal velocity 6.1 m/s and a takeoff angle of 30 degrees. How far did the jumper fall vertically from takeoff to landing?

A bicycle travels 7.50 km due east in 0.210 h, then 8.80 km at 15.0° east of north in 0.770 h, and finally another 7.50 km due east in 0.210 h to reach its destination. The time lost in turning is negligible. Assume that east is in the +x-direction and north is in the +y-direction. What is the direction of the average velocity for the entire trip? Enter the answer as an angle in degrees north of east

You throw a ball on planet X where g is not the same as on Earth. The figure below shows the vertical velocity of the ball after it leaves your hand. Air resistance is not important. v(m/s) 18.0 12.0 6.0 -6.0 -12.0 -18.0 1.0 2.0 3.0 t(s)

A red car has a speed of 17.6 m/s and is driving on a circular track with a radius of 111 m. A blue car has a speed of 10.3m/s and is driving on a circular track with a radius of 55 m. What is the ratio of the centripetal acceleration of the red car to that of the blue car? ared/ablue =

A soccer player kicks a ball, while imparting spin to bend it. The ball starts on the ground and is kicked with an initial velocity of 15 ?/?, at an angle of elevation 30 degrees. Assume the ball was kicked north and the spin creates a constant acceleration ? to the west, which is what makes the ball follow a curved path. If the ball lands 8 meters west of the starting point, what is the value of ?? Assume the standard value of ? = 9.8 ?/?2.