What is the acceleration (in units of feet per second squared) of a car that goes from 16 mph to 75 mph in a 10.0 second time period? How far does the car travel during that acceleration in units of feet? Make a list of all given values, units, and the variables they represent. Write the general form of the equation you are going to use. Solve the equation.

6.8 The distance a freely falling object travels is where g = acceleration due to gravity, 9.8 m/s? t = time in seconds x = distance traveled in meters. If you have taken calculus, you know that we can find the velocity of the object by taking the derivative of the preceding equation. That is, dx = v = dt = gt We can find the acceleration by taking the derivative again: dv = a = g dt (a) Create a function called free_fall with a single input vector t that returns values for distance x, velocity v, and acceleration g. (b) Test your function with a time vector that ranges from 0 to 20 seconds, 6.9 Create a function

2. The position of a drone as a function of time is given by *(t) = ( 8 i + 1.5 k) + (-3 î + 2 j) t – 0.5 t2 j The units are missing in the constant coefficients above, i.e., "0.5" should be "0.5 m/s2". Include the correct units on all the constant coefficients in your answers below. a. What is the x-position of the drone as a function of time? b. What is the y-position of the drone as a function of time? c. How far away is the drone from its starting position at t = 3s? d. What is the acceleration vector? е. What is the velocity vector as a function of time? (One way to do this is to take the time derivative of the position vector.) f. Make a sketch of the x, y, and z positions of the drone as function of time. You just need the general shape. time time time

A  cannon is turned towards the west and a cannonball is fired. This cannonball has a velocity of 252 kmph at an angle 60 degrees. The cannonball lands on a hillside 100 metres above its starting level. What is the range of the cannon ball?  Make a simple sketch. Make a list of all given values, units, and the variables they represent. write the general form of the equation you are going to use. Insert the known values and solve. State at the start of the problem which direction is positive by using an up or down arrow. Keep the velocity components and time to 2 decimal places.

6. A train is moving with a constant speed. The train moves 60 meters for every 1.5 seconds that elapses. a. Assume that we get 40 by dividing 60 by 1.5. What is the name that is commonly given to a quantity represented by this number 40? b. To denote the quantity completely, what additional information must be given besides the number 40? c. How would you interpret the number 40 in this instance? Your answer should mention distance and time. d. Use your interpretation (not algebra) to find the distance the train moves in 2.5 seconds.

1. Write the final answer for the problem and add the units.   2. Write the claim and reasoning for this problem.   Example of how to write the claim and reasoning is the image with the black background.

A cat walks in a straight line, which we shall call the -axis, with the positive direction to the right. As an observant physicist, you make measurements of this cat's motion and construct a graph of the feline's velocity as a function of time (Figure 1). I. Calculate the area under the graph between t = 0 and t = 6.0 s. (Express your answer to two significant figures and include the appropriate units.) II. For the time interval t = 0 to t = 6.0 s, what is the magnitude of the average velocity of the cat? (Express your answer to two significant figures and include the appropriate units.) III. Use constant-acceleration equations to calculate the distance the cat travels in this time interval. (Express your answer to two significant figures and include the appropriate units.)

A boat takes 3.70 hours to travel 45.0 km down a river, then 6.70 hours to return. You may want to review (Pages 91 - 92). Part A How fast is the river flowing? Express your answer with the appropriate units. μA Value Submit Units Request Answer ?

An object is held 10 m above the ground. It is tossed upward at 5 m/s. Describe the object's motion in words. Write an equation of motion for the object. How long does it take for the object to hit the ground? How far above the ground is the object in 1.5 sec?

sketch what you think the speed time graph would look like for a vehicle that begins at 10 m/hr. and remains at that speed for 10 minutes.  Label this section A.  Then the vehicle (over a five-minute interval) increases speed from 10 to 20 m/hr.  Label this section B.  Then immediately the vehicle begins to slow down.  It takes the vehicle 10 minutes to slow down from 20 m/hr. to zero.  Label this section C.   This graph would have 3 intervals.  The first interval (A) is from 0 to 10 minutes.  The second interval (B) is from 10 minutes to 15 minutes.  The third interval (C) is from 15 minutes to 25 minutes.  The x-axis needs to go from zero to 25 minutes.  The y axis needs to go from zero to 20 m/hr.  Describe the motion of the vehicle in each interval  as increasing, decreasing, constant, or at rest.