The a-t graph for the motion of a car as it is moving to the right as shown. The brakes are then applied which causes deceleration at the rate shown until the car stops. Determine the maximum speed of the car. The time when the car stops. Draw and fully label the v-t graph knowing that vo = 0. a. b. с. a (f/s) 15 "10
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- A brick becomes dislodged from the top of a state building (at a height of 1220 feet) and falls to the sidewalk below. (a) Write the position, velocity, and acceleration functions of the brick. (b) How long does it take the brick to hit the sidewalk? (Use two decimal places.) (c) How fast is the brick traveling when it hits the sidewalk. (Use one decimal place.)A high-performance sports car can go from 0 to 100 mph in 7.0 s. (Assume the car travels in the positive direction. Indicate the direction with the sign of your answer.) (a) What is the car's average acceleration (in SI units; meter-kilogram-second)?(b) The same car can come to a complete stop from 31 m/s in 3.9 s. What is its average acceleration?A KTM commuter train travels between two stations, A and B. The train starts from rest from station A and accelerates at a constant rate for 0.5 km until it reaches a speed of 30 m/s. It then travels at this constant speed for T s before decelerating at a constant rate of 1.5 m/s2 and coming to rest at station B. Figure 1 shows the velocity-time graph of the train’s journey between the two stations. Determine the value of T if the distance between the two stations 6 km. Calculate also the total time taken for the whole journey.
- 1. For the graph of position vs. time. a. Describe the shape of the graph. Explain how the motion of the ball corresponds to the shape of the graph. What is the positive direction? b. What is the best regression equation to fit the data? (linear, power, exponential, etc) c. What does the slope represent on this graph? For the graph of velocity vs. time a. Describe the shape of the graph. Explain how the motion of the ball corresponds to the shape of the graph. What is the positive direction? b. What is the best regression equation to fit the data? (linear, power, exponential, etc) c. What does the slope represent on this graph?A car travels 22 km south, 12 km west, and 14 km north in halfan hour. (See the figure below) a) What is the average speed of the car?b) What is the final displacement of the car?c) What is the average velocity of the car?Sn object moves in a straight line in one dimension as shown below. What can be concluded about the object's velocity and acceleration? The picture is attached
- 1. 1. Draw a graph of velocity as a function of time2. Determine the following from your graph:(a) The change in velocity per unit change in time (i.e. acceleration of the ball). Illustrate onyour graph and show the calculation below. (b) The velocity at t = 0.84 s (interpolation). Illustrate on your graph and write the value below.(c) The velocity at t = 1.74 s (extrapolation). Illustrate on your graph and write the value below.(d) Set up an empirical equation for the velocity of the ball at different times. This equationshould use the numerical values of the constants and indicate their units.1. A ball was dropped from a building and reached the ground in 4.00s. Show the equations that you use and all calculations. a) How much was the height of the building? b) How fast was it going when it hit the ground? c) How much is the acceleration of the ball? Give both magnitude and direction (up or down). ExplainA car is crashed into a tree at the speed of 144 km/h. It took the car 4 seconds to stop. Assume that the car withstood the collision without substantial damage, and the driver received no more than superficial bruises to the surface of her body. (a) Draw a diagram that represent the collision and label all vector quantities. Make sure you pick axes and indicate directionality with signs and unit vectors. (b) Assuming that the acceleration was uniform during the collision, calculate the acceleration and indicate its direction on your diagram. (c) If (at best) a person can withstand 9g acceleration (9 × 9.8m/s ^2 = 88.2 m/s^2 ) only for a few seconds, is the driver of the car survived the crash?
- Ana throws a toy upward and it takes the toy 4.8 seconds to reach the max point before it falls to Ana's hands.(a) What is the initial velocity of the toy?(b) What is the distance travelled by the toy from the point of release to the max point? Include a diagram and the laws/theorems of physics applied in your calculationsProvide an explanation on outlining the underlying physics principle and using correct terminologies. In answering these problems, apply appropriate formulae, principles, and equations. A. Can an object have a constant speed but varying velocity ?Draw a velocity versus time graph for an object whose constant velocity is 15 m/s and whose position starts at x= 0 when t = 0 Graph the motion for the first 5.0 seconds. A.) For the motion graphed in the position versus time graph shown above, what is the average velocity in the time interval 1 to 3 seconds? B.) For the motion graphed in the position versus time graph shown above, what is the average velocity in the time interval 3 to 4 seconds? C.) For the motion graphed in the position versus time graph shown above, what is the average velocity in the time interval 5 to 6 seconds?