How fast should the car is traveling just as it leaves the

Question

Question 1- A squirrel has x- and y-coordinates (1.0m, 3.1m) at time t₁ = 0 and coordinates (5.4m, -0.30m) at time t₂ = 2.8s.

Part A: For this time interval, find the x-component of the average velocity.

Part B: For this time interval, find the y-component of the average velocity.

Part C: Find the magnitude of the average velocity.

Question 2- A daring 510-N swimmer dives off a cliff with a running horizontal leap, as shown in the figure.

Part A: What must her minimum speed be just as she leaves the top of the cliff so that she will miss the ledge at the bottom, which is 1.75 m wide and 9.00 m below the top of the cliff?

Question 3- A car comes to a bridge during a storm and finds the bridge washed out. The driver must get to the other side, so he decides to try leaping it with his car. The side the car is on is 22.4m above the river, while the opposite side is a mere 2.4m above the river. The river itself is a raging torrent 62.0m wide.

Part A: How fast should the car is traveling just as it leaves the cliff in order just to clear the river and land safely on the opposite side?

Part B: What is the speed of the car just before it lands safely on the other side?

Question 4- Firemen are shooting a stream of water at a burning building using a high-pressure hose that shoots out the water with a speed of 25.0 m/s as it leaves the end of the hose. Once it leaves the hose, the water moves in projectile motion. The firemen adjust the angle of elevation α of the hose until the water takes 3.00 s to reach a building 45.0 in away. You can ignore air resistance: assume that the end of the hose is at ground level.

Part A: Find the angle of elevation α.

Part B: Find the speed of the water at the highest point in its trajectory.

Part C: Find the magnitude of the acceleration of the water at the highest point in its trajectory.

Question 5- The earth has a radius of 6380km and turns around once on its axis in 24 h.

Part A: What is the radial acceleration of an object at the earth's equator? Give your answer in m/s².

Part B: What is the radial acceleration of an object at the earth's equator? Give your answer as a fraction of g.

Part C: It a_rad at the equator is greater than g, objects would fly off the earth's surface and into space. What would the period of the earth's rotation have to be for this to occur?

Question 6- A model of a helicopter rotor has four blades, each of length 3.30 m from the central shaft to the blade tip. The model is rotated in a wind tunnel at a rotational speed of 550 rev/min.

Part A: What is the linear speed of the blade tip?

Part B: What is the radial acceleration of the blade tip expressed as a multiple of the acceleration of gravity, g?

Question 7- A Ferris wheel with radius 14.0 m is turning about a horizontal axis through its center. The linear speed of a passenger on the rim is constant and equal to 7.73m/s.

Part A: What is the magnitude of the passenger's acceleration as she passes through the lowest point in her circular motion?

Part B: What is the direction of the passenger's acceleration as she passes through the lowest point in her circular motion?

Part C: What is the magnitude of the passenger's acceleration as she passes through the highest point in her circular motion?