r FIGURE I.3

A basketball player jumps straight up for a ball. To do this, he lowers his body 0.320 m and then accelerates through this distance by forcefully straightening his legs. This player leaves the floor with a vertical velocity sufficient to carry him 0.880 m above the floor. (a) Calculate his velocity (in m/s) when he leaves the floor. (Enter a number.) m/s (b) Calculate his acceleration (in m/s2) while he is straightening his legs. He goes from zero to the velocity found in part (a) in a distance of 0.320 m. (Enter a number.) m/s2 (c) Calculate the force (in N) he exerts on the floor to do this, given that his mass is 108 kg. (Enter a number.)

A ball is kicked with an initial horizontal velocity of 16 m/s and initial vertical velocity of 10 m/s. What is the maximum height the ball goes above the ground? Use g = 10 m/s2.

A basketball player jumps straight up for a ball. To do this, he lowers his body 0.290 m and then accelerates through this distance by forcefully straightening his legs. This player leaves the floor with a vertical velocity sufficient to carry him 0.880 m above the floor. (a) Calculate his velocity (in m/s) when he leaves the floor. (Enter a number.) m/s (b) Calculate his acceleration (in m/s²) while he is straightening his legs. He goes from zero to the velocity found in part (a) in a distance of 0.290 m. (Enter a number.) m/s² (c) Calculate the force (in N) he exerts on the floor to do this, given that his mass is 114 kg. (Enter a number.) N

You have put a sonar device at the top of a frictionless inclined plane. That device allows you to measure the distance an object is from the device, as well as the speed and the acceleration of that object. If we decide that the origin (h = 0) is at the sonar device, we want to know what the height change is as we slide down the incline. For an angle below the horizontal of 9.74°, we see that our object has slid a distance 0.54 m, as measured along the incline itself. - Calculate the height change and report your answer as a negative number. (This value would be useful for calculating the change in gravitational potential energy, as we will do in the lab.) h=o e

A ball is kicked with an initial horizontal velocity of 16 m/s and initial vertical velocity of 10 m/s. What is the maximum height the ball goes above the ground? Use g = 10 m/s2.

A ball is suspended from a light 1.3 m string . The string makes an angle of 24 degrees with the vertical. The ball is then kicked up and to the right such that the string remains taut the entire time the ball swings upwards. This kick gives the ball an initial velocity of 1.1m/s. What will be the speed, in meters per second, of the ball when it reaches its lowest point (θ = 0)?  What will be the maximum angle, in degrees, the string will make with the vertical?

Falcons are excellent fliers that can reach very high speeds by diving nearly straight down. To pull out of such a dive, a falcon extends its wings and flies through a circular arc that redirects its motion. The forces on the falcon that control its motion are its weight and an upward lift force—like an airplane—due to the air flowing over its wings. At the bottom of the arc, as shown, a falcon can easily achieve an acceleration of 15 m/s2. A falcon starts from rest, does a free-fall dive from a height of 30 m, and then pulls out by flying in a circular arc of radius 50 m. Which segment of the motion has a higher acceleration?A. The free-fall diveB. The circular arcC. The two accelerations are equal.

An astronaut exploring a distant solar system lands on a planet with a gravitational acceleration of 746 m/s. What is the maximum height an astronaut could reach when jumping straight up starting with an initial speed of 1.80 m/s?

You are designing a high-speed elevator for a new skyscraper. The elevator will have a mass limit of 2400 kg (including passengers). For passenger comfort, you choose the maximum ascent speed to be 18.0 m/s, the maximum descent speed to be 10.0 m/s, and the maximum acceleration magnitude to be 3.40 m/s 2. Ignore friction. What is the minimum time it will take the elevator to ascend from the lobby to the observation deck, a vertical displacement of 640 m?