Identify and describe all 5 instances of acceleration in the following scenario. A female bear leaves her bear cubs in their den to go out in search of food. She travels one mile in 30 minutes, heading east. She travels quickly at first, but the she becomes tired and begins moving more slowly. She finds no food, so she heads north for another 10 minutes. She finds a river, so she is able to catch a few fish for her bear cubs. She then turns around and heads, southwest, back towards her den.

1. A bicyclist is finishing his repair of a flat tire when a friend rides by with a constant speed of 4.0 m/s. Three seconds later the bicyclist hops on his bike and begins to follow the friend with an initial speed of 10 m/s. Assume the bicyclist continues at a constant speed of 10 m/s until he catches the friend. a) Calculate the time it takes to catch his friend. b) How fast is he moving when he catches his friend? c) How far did he travel to catch his friend?

4. At the construction site of a tall building, a worker is in an elevator descending at a constant downwards velocity of 5 m/s. When the elevator is 40 meters above ground level, her friend, standing at ground level, tosses a wrench straight upward with an initial speed of 25 m/s. Take the time when the wrench is tossed as t = 0. For this problem, use g = 10 m/s². a. Draw a labeled picture with symbols and all relevant values. Quantities that are different should be given different symbols, for example y, and Yw. b. Graph the velocities versus time of the elevator and the wrench on the same graph. Label axes of the graph (with units). C. At what time does the wrench and the elevator have the same velocity? 20 10 -10 -20 3 4 time (s) d. Which object (the wrench or elevator) is higher when their velocities are the same? By how much is one object higher than the other at this time? (s/u) ka

If an object is thrown straight up and air resistance is negligible, then its speed when it returns to the starting point is the same as when it was released. If air resistance were not negligible how would its speed upon return compare with its initial speed? why ? Explain. How would the maximum height to which it rises be affected? why? Explain.

A snowboarder on a slope starts from rest and reaches a speed of 1.5 m/s after 9.9 s. (a) What is the magnitude of the snowboarder's average acceleration? m/s2 (b) How far does the snowboarder travel in this time? m

1. You are playing hockey with the puck stationary on the ice at your feet. Your teammate, Alice, initially at rest, makes a break for the goal. When she starts to move, you pass Alice the puck so that it moves with constant velocity to reach her 3 seconds later and she scores! After the game, you start to wonder how fast you passed the puck to reach her at the right time to score. You estimate her acceleration was a = 1.5 m/s² at an angle of A = 70° with respect to the x-axis, and her initial position is TAO = (-10, 0, -2) (m). The coordinate system is shown below from the viewpoint of looking down on the rink. puck (a) Write down the Alice's acceleration as a vector. I (b) Use the constant acceleration equations to calculate Alice's position, TA (t), and velocity, VA(t), at t = 3 s (when she recieves the puck). (c) Calculate the components of the velocity of the puck needed to reach Alice at t = 3 s.

Acceleration equals 5.1m/s2. Part B please.

A ball is tossed straight up and later returns to the point from which it was launched. If the ball is subject to air resistance as well as gravity, which of the following statements is correct? a. The magnitude of the ball's acceleration on the way up is greater than on the way down b. The velocity of the ball at the top of its flight is zero therefore acceleration at this point is also zero O . The time for the ball to fall is equal to the time it takes to rise. o d. The speed of the ball when it returns to it launch position is greater than the launch speed

You are driving your car along a country road at a speed of 23.6 m/s. As you come over the crest of a hill, you notice a farm tractor 25.0 m ahead of you on the road, moving in the same direction as you at a speed of 10.0 m/s. You immediately slam on your brakes and slow down with a constant acceleration of magnitude 7.20 m/s2.       How far is the tractor in front of you when you finally stop?

Problem 1: How high can you jump? To model jumping we will split the motion into two parts. For the first part, you crouch and make a displacement up by pushing your feet against the ground. The second part is after your feet leave the ground. For the first part, assume that you create an acceleration of 20.4 m/s 2 while your feet are in contact with the ground and that you make a displacement of 0.2 m.   1. What is your velocity when your feet leave the ground? 2. After your feet leave the ground, what kind of motion do you follow, constant acceleration or constant velocity? State the velocity or acceleration. 3. What is your velocity at your maximum height? 4. Determine how high you go after your feet leave the ground.