Given "A large boulder is ejected vertically upward from a volcano with an initial speed of 40.1 m/s . Air resistance may be ignored." I'm asked "What is the magnitude of acceleration while the boulder is moving?"

#2) For this problem, ignore air resistance and assume the magnitude of the acceleration due to gravity is equal to 9.80 m/s². Let's also use up as the positive direction. Report answers to 3 sig figs. ECANSU (A) A rocket, initially at rest on the ground, accelerates straight upward from rest with constant net acceleration of 32.8 m/s2. The acceleration period lasts for a time of 3.47 s until the fuel is exhausted. Find the height the rocket reaches in the first 3.47 s. Show starting equations, algebra first, show final equations, numbers last. (B) After 3.47s, the fuel runs out and the rocket is now in free fall as it continues its motion. Find the total maximum height the rocket reaches as measured from the ground. Show starting equations, algebra first, show final equations, numbers last.

A person falls from a height of 2.0m on earth (a=g=9.8m/s2). What acceleration is necessary for them to stop over 30 cm (assuming they bend their knees)? What if they don't bend their knees hence stop over a distance of 1 mm?

A ball is thrown so that its initial vertical and horizontal components of velocity are 50 m/s and 15 m/s, respectively. Estimate the maximum height the ball reaches. (Use 10 m/s? as the acceleration of gravity.)

A “car” is sent a up tilted air track.  If the initial speed is 0.43 m/s, how high in mm will the car rise vertically from where it started? Can you help with a visual aid; and then the mechanics of calculation.

A basketball player jumps straight up for a ball. To do this, he lowers his body 0.310 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 0.940 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 0.310 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 104 kg. (Enter a number.) N

A car is traveling south at 30 km/h. it rounds a curve, and 6 s later it is traveling west at 30 km/h. the magnitude of the average acceleration of the car is: (the answer is 7.1 km/h s )  I have the answer, but PLEASE show how to get it in step by step detail/explain how ( it's an exam review question but I don't know why that's the answer)

Paul the polar bear is chillin’ on on iceberg and throwing snowballs straight up in the air near the Earth’s surface. What is the acceleration of the snowball when it reaches the maximum height?  (Up is the +y^+y^ direction; no air resistance)