Suppose that a tennis ball is dropped from the top of a skyscraper. Taking the ball’s initial position zero (y=0) and choosing y-axis positive in the downward direction, for this free-fall motion, Draw the acceleration vs. time, velocity vs. time and position vs. time graphs. Calculate the position, velocity, and acceleration of the ball at t= 5.0 seconds. Use Kinematics equations. (g=9.80 mls2)

a van travels a distance d=25.6m in the positive x direction in a time t1=23.7s, at which point it brakes coming to a rest in t2=8.33sa. what was the van's avergae velocity in the horizontal direction in m/s during the t1 time period?b.assuming the van started from rest and moved at a constant acceleration, what was the acceleration in m/s2 during the time interval t1?c. what was the van's instantaneous velocity in the horizontal direction in ms when it was braking?d. using the result from part c, what was the van's horizontal component of acceleration in m/s2 during the braking period?

Consider the following descriptions of the vertical motion of an object subject only to the acceleration due to gravity. Begin with the acceleration equation a(t) = v'(t) = g, where g= - 9.8 m/s. a. Find the velocity of the object for all relevant times. b. Find the position of the object for all relevant times. c. Find the time when the object reaches its highest point. What is the height? d. Find the time when the object strikes the ground. A softball is popped up vertically (from the ground) with a velocity of 25 m/s. а. v(t) b. s(t) = %3D c. The object's highest point is m at time t= S. (Simplify your answers. Round to two decimal places as needed.) d. t= (Simplify your answer. Round to two decimal places as needed.)

A rhinoceros is at the origin of coordinates at time t1 = 0. For the time interval from t1 to t2 = 11.0 s, the rhino's average velocity has x-component - 4.20 m/s and y-component 5.10 m/s.  a. At time t2 = 11.0 s what is the x-coordinate of the rhino? b. At time t2 = 11.0 s what is the y-coordinate of the rhino? c. How far is the rhino from the origin?

The height above the ground of a drone is given by h = 3.50 t³, where h is in meters and t is in seconds. Calculate at t = 2.50 s (a) the height of the drone above the ground and (b) the velocity of the drone. At this time (t = 2.50 s) the drone releases a package (c) how long does it take the package to reach the ground? Include a complete diagram of the situation.

1D Kinematics W1Q1: Please answer each part step by step and explain each step (even if minor)  in detail please.