Case 1: One of your friends is standing by with a stopwatch and starts timing the moment the ball leaves your hand. The timer is stopped when your friend sees the ball hit the ground. If the time was 5.3 seconds, what initial velocity did you give to the ball?

A group of students in a science class monitored the movement of a cat walking along with a straight line and recorded the cat's position in five-second intervals.The results are summarized it in the table below.  time and position time(s) position (cm) 0 49.0 5 38.0 10 43.0 15 40.0 20 60.0   A. What is the displacement of the cat between t = 5.00 s and t = 20.0 s?   B. What is the average velocity of the cat between t = 5.00 s and t = 20.0 s?   C.What is the distance the cat traveled between t = 5.00 s and t = 20.0 s?

A rocket is shot straight up in the air from the ground at a rate of 46 feet per second. The rocket is tracked by a rangefinder that is 427 feet from the launch pad. Let d represent the distance from the rocket to the rangefinder and t represent the time, in seconds, since "blastoff". Express d as a function of t.

Moving sidewalks are installed every other 50 meters along the entire stretch of an airport walkway. These sidewalks move at a constant speed of 1 m/s. A lady passenger takes one of the sidewalks to go from one point to the next. If the passenger decides to go back using the same sidewalk at 1 m/s, how long will it take to reach her point of origin?

A suspicious-looking man runs as fast as he can along a moving sidewalk from one end to the other, taking 2.90 s. Then security agents appear, and the man runs as fast as he can back along the sidewalk to his starting point, taking 10.5 s. What is the ratio of the man's running speed to the sidewalk's speed? Number i Units

Help, please

At t=0 an object has a velocity of 35 m/s and a steady acceleration of -10 m/s2.   Make a sketch of velocity vs. time for this motion from t=0 to t=5 s. Make a sketch of acceleration vs. time for this motion from t=0 to t=5 s. Does the object change directions between 0 and 6 s?

An object moves in the x-y plane with a constant acceleration of 2i +3j meters per second squared. The object starts at the origin with some initial velocity. After four seconds (4 seconds) the velocity of the object is 2i + 8j meters per second. Determine the object’s initial velocity. Leave answer in i-j notation. Determine the position of the object at time, t = 4 seconds. Leave answer in i-j notation.   Thank you for your help.

At t=0 an object has a position of 1 m and has a steady velocity of -2.5 m/s.     What will be the object’s position at t = 6 seconds? Make a sketch of position vs. time for this motion from t=0 to t=6 s. Make a sketch of velocity vs. time for this motion from t=0 to t=6 s. Does the object change directions between 0 and 6 s?

I need help with Q4. I can't figure out what equation I should use to find the velocity. I think it would be a combination of the velocity formulas for x and y but I'm not sure. My 4 simplified equations are: 1. Vxf = Vxi 2. (delta)x = Vxi * (delta)t 3. Vyf = 9.8 m/s^2 * (delta)t 4. (delta)y = 1/2(9.8 m/s^2) * (delta)t^2   For my data I have: (delta)y = 0.6604 meters (delta) t = 0.367 seconds   I don't need the answer or a long explanation, I really just can't figure out what equation/formula I need to use to find "the velocity of your object as it rolls off the incline and enters free-fall."