1. Use the following information for parts a-d. A soccer ball is rolling towards the net. It bounces off a goal post towards Amy, who passes the ball to Betty. Betty holds the ball under her foot. Below is a graph of the ball's position over time. Position Time Graph of Soccer Ball 16 14 В 12 10 E 8. 6 2 1 2 3 4 6 7 10 11 Time (s) a) How far was Amy standing from the goal post? Answer to two significant digits. (1) b) How long did it take for the ball to reach Betty starting at time = 0 s. Answer to two significant digits. (1) c) What is different about the ball's motion from 2 s to 4 s (from point B to point C) compared to the motion from 4 s to 8 s (from point C to point D)? (1) Position (m)

In an amusement-park ride, cars rolling along at high speed suddenly head up a long, straight ramp. They roll up the ramp, reverse direction at the highest  point, then roll backward back down the ramp. In each of the following segments of the motion, which way does the acceleration vector point?a. As the cars roll up the ramp.b. At the highest point on the ramp.c. As the cars roll back down the ramp.

A motorcycle begins at rest at t0 = 0 seconds. The motorcycle starts moving, and eventually covers a distance d = 840 m, in a time tf = 189 s. In a coordinate system with north being the positive x-direction, the motorcycle's motion is in the northern direction (see figure). 1. What was the motorcycle's average velocity in in the northern direction vavg,N, in this period in meters per second?  2.  If the motorcycle's final velocity at tf was 12 m/s, what was the motorcycle's average acceleration in the northern direction, aavg,N, during this period in m/s2?

Steph Curry launches a basketball from a height of 2.36 m above the ground from the free throw line, which is 4.191 m to the left of the center of the hoop. The basketball makes it through the hoop, which is 3.048 meters above the ground, 1.13 seconds later. a.) what is the basketball's velocity when it leaves Steph's hands? b.) what is the basketball's velocity as it passes through the hoop?

12. A ball is thrown straight up into the air. At each of the following instants, is the magnitude of the ball's acceleration greater than g, equal to g, less than g, or 0? Explain. a. Just after leaving your hand. b. At the very top (maximum height). 6. Just before hitting the ground.

6. A car starts from rest and accelerates at a rate of 1.8 m/s² West for 15s. It goes at a constant velocity for 50s and then accelerates at a rate of 2.1m/s² East for 10 s. Use West as the positive direction. a. Draw an acceleration graph for this situation. Remember to quantitatively label your axes. a (m/812) t(s) 0-15 15-65 65-75 b. What is the change in velocity for each time interval? Av (m/s) t(s) Draw a velocity graph for this situation. Remember to quantitatively label your axes. v (m/s) E t(s) d. What is the total displacement between t-Os and t= 75 s?

A tennis-ball gun launches tennis balls at 18.5 m/s. It's pointed straight up and launches one ball; 2.0 s later, a second ball is launched. a. At what time( after the first launch) are the two balls at the same height? b. What is that height?  c. What are both balls' velocities at that point?

A ball is thrown at an initial height of 65 feet at an initial velocity of 75 feet/second at an angle of 65 degrees. Given the parametric equations yY = - - 16t + Vo · Sin(0)t + ho and x = Vo Cos(0)t. When doing calculations, carry 5 digits of accuracy, so your round off does not build up. a. What is the ball's height in 3 seconds? feet. seconds. b. When will the object hit the ground? feet. c. How far horizontally will the ball be when it hits the ground? seconds. d. When will the ball be at its maximum height? e. What is the ball's maximum height? feet. feet f. How far horizontally will the ball be when it reaches its maximum height?

The takeoff speed for an Airbus A320 jetliner is 80 m/s. Velocity data measured during takeoff are as shown in the table.a. What is the jetliner’s acceleration during takeoff, in m/s2 and in g’s?b. At what time do the wheels leave the ground?c. For safety reasons, in case of an aborted takeoff, the length of the runway must be three times the takeoff distance. What is the minimum length runway this aircraft can use?

1. A person kicks a ball horizontally off of a cliff 8.3 m high and it lands 22 m away on the beach. a) Sketch the situation here with labeled events b) How long does the ball take to land? c) What was the initial velocity of the ball? d) How would the time change for the ball to hit the beach if the person hit it really hard? How about if they just let it drop? Explain your answer with sketches and words. hit horizontally dropped hit harder horizontally