3. A baseball is hit straight up into the air with an initial velocity of 25.2 m/s and has a hang-time of 5.28 s. Determine the height to which the ball rises before it reaches its peak. (Hint: time to rise to the peak is one-half the total hang-time.)

9: An archer fires an arrow straight up into the air with a speed v0=35.6m/s. Neglect air resistance.   a. Find the maximum height, hℎ, in meters, reached by the arrow.  b.  In terms of known quantities, write an expression for the time the arrow is in the air until it returns to launch height.

2. You wake up one morning to find yourself in a strange room with opaque walls, and no visible doors or windows. You decide to do some experiments to find out more about your strange situation. you drop a ball from a height of 1.22 m above the floor. The ball hits the floor 0.349 s after your drop it. You guess that you must have been taken to an alien planet with gravity different from Earth s. What is this planet s g (that is, the magnitude of the acceleration due to gravity on this planet)?     20.0 m/s^2     10.0 m/s^2     15.0 m/s^2     30.0 m/s^2

The 25-Mg boxcar A 16m/s to the right is coasting on the horizontal track when it encounters a 9-Mg car B coasting at 2m/s toward it. If the two cars meet and couple together, determin common speed in m/s just after the coupling. Please see details below. Rounding numbers to 2 decimal places at the end.

You are diving board over a swimming pool. You are throwing upward a tennis ball at a speed 3 m/s. On its way back down the tennis ball narrowly misses the diving and hits the water below at 15 m/s. The board is about

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6. Suppose an object is thrown up in the air and then it falls back down. Its height is given by the function S h(t) = 20t2 (2 – t). (a) Find the velocity function. (b) At what time t > 0 does the object hit the ground? (c) At what time t > 0 does the object stop moving? (d) Is the object moving upwards or moving downwards at t = 1? Say why. (e) Find the acceleration function.

2. Suppose we now have a little ball bouncing vertically and lightly on the trampoline. The ball's mass is 0.5kg. Air resistance is unchanged. At time t = 0, the ball again starts at height 0.6 m above the ground and the velocity of the ball is 0. Draw a graph of h(t) in this case and briefly explain your reasoning. Hint: you do not need to solve for y(t).

5. A student throws a 0.1 kg ball into the air. (A) Just after the ball leaves their hand, it has a velocity of 5 m/s. (B) At the peak of its motion, it has a velocity of 2 m/s. Assuming no air resistance, to what height dịd the student throw the ball? Also, assume the ball started at h=0 (The zero-reference line is at the starting position of the ball). The energy chart is optional. KE- Vz- Poson A SystemFlow Poston KE- 1.2SJ@ A KE /2..1.2 KE- 0.25 @B Etr E, E Ea Et E, E En Energy Equation KETGPE = KE + GPE 6. A parachutist of mass 50.0 kg jumps out of a stationary balloon at a height of 1,000 meters. The system consists of the parachutist and the Earth, if the parachutist lands with a speed of 5.0 m/s, how much energy was transferred out of the system (so energy transferred to something else)? 7. Suppose the spring below has a spring constant of 50. N/m. The box has a mass of 8.0 kg and rests on a surface of negligible friction. In the diagram above, the spring was compressed 4.0 m.…

ycla 3. A car travelling at 122 km/h strikes a tree, the front end of the car compresses, and the driver comes to rest after traveling 0.558 m. What was the average acceleration of the driver during the collision? Express your answer in terms of g's (1.00g = 9.80 m/s'). g's %3D Given the fact that humans can withstand a maximum of 25 g's for a short time without brainy injury, what would the condition of this driver most likely be? Impact khl l