The graph to the right shows the speed of a truck as it moves along a straight, level road. Which of the following describe a method to determine the distance d the truck travels during the 10 s time interval shown? Select two answers.  a Multiply the average speed of 18 m/s by the 10 s travel time.  b Calculate the area under the line in the graph.  c Multiply half the initial speed of 30 m/s by the 10 s travel time.  d Calculate the slope of the line in the graph to determine the acceleration a and then use d = (1 2) 2 at , where t is the travel time.

I know the answer is c but can you please explain why

Needs Complete solution with 100 % accuracy.

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.

Part A A motorcycle moves according to the velocity-versus-time graph shown in the figure(Figure 1). Find the average acceleration of the motorcycle during segment A of the motion. Express your answer using two significant figures. ? m/s Submit Request Answer Part B Find the average acceleration of the motorcycle during segment B of the motion. Express your answer using two significant figures. ap = m/s? Submit Request Answer Figure 1 of 1 Part C 15 Find the average acceleration of the motorcycle during segment C of the motion. 10 Express your answer using two significant figures. A 5 ac = m/s? 5 10 15 20 25 Time, t (s) Submit Reauest Answer s/w) a 'Ápoja

When Sam drove at 9.5 m/s on university blvd, she passed her friend, Jess who was riding a bike at 5.0m/s. As Sam was passing Jess, she started to slow down while Jess kept her constant speed. So Jess caught up to Sam after 3 seconds. a.) Determine the distance traveled by Jess when she caught up to Sam.

Problem-Solving Technique: Draw a labeled picture. Put a coordinate system on the picture indicating the location of the origin and the positive direction. Show the solution in a step-by-step orderly fashion. Write any equation you use in symbolic form before substituting in numbers. 1. Ann is traveling at 30 m/s (80 mi/hr) west when she passes a police car. She immediately begins slowing down at a rate of 2.5 m/s for 4 seconds. How far has she traveled for this time? a. Fill in the information that is given in the problem. Put a question mark for any quantity that is not given in the problem. Vox = v. = b. Determine the distance she traveled in this time. Start with the equation in sy numbers you used including units. olic form and show the

What is the acceleration (in units of feet per second squared) of a car that goes from 15 mph to 75 mph in a 10.0 second time period? How far does the car travel during that acceleration in units of feet? Identify the quantity(variable) you are solving for. make a simple sketch to represent the data given. 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.

B. The graph at the right shows the journey of a car over a 50-second time interval. Find the car’s displacement after 50 seconds.

A car goes at 60 mph for 2 hours from point O and then it takes 3 hours to get back to point O. a) Find the average velocity for the entire trip. b) Find the average velocity for the first 3 hours. c) Find the average speed for the whole trip.