The diagram represents a time-lapse video of a person throwing a basketball into the air. A camera was used to record the video at five frames per second. The first frame was taken the moment the basketball left the person's hands. Assuming that the flight of the basketball was symmetrical, how long did it take the basketball to hit the ground after it was thrown and what was the maximum height it reached?
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- Any assistance with this physics problem would be great!Physics Question #7 is attached imageI don't understand how to do this problem. I tried taking the derivative, but that didn't give me the correct answer. I would really appreciate the help. When a 1984 Alpha Romeo Spider sports car accelerates in the x-direction at the maximum possible rate,its motion during the first 20. seconds is extremely well modeled by the simple equation vx2=(60 m2/s3)t, where t is time in seconds and vx is in m/s. In other words, the squareof teh car's velocity increases linearly with time. What is its acceleration after 3s, assuming that the car starts from rest at t=0 s?
- You’re trying to find your classroom in the labyrinth that is Gilman Hall, walking through the halls at an average pace of 1.4 m/s. You look up from your phone displaying the room number to see that a group of students is suddenly standing in the middle of the hallway 1.8 meters away! How much time (in seconds) do you have to react before you bump into themGiven v(t) = 21 + 20 t, where v is in m/s and t is in s, use calculus to determine the total displacement from t₁ = 1.5 s to t₂ = 3.1 s. Express your answer using two significant figures.Two-dimensional motion: Object A has a position as a function of time given by rA(t) = (3.00 m/s)t i + (1.00 m/s2)t2j. Object B has a position as a function of time given by r p(t) = (4.00 m/s)ti + (-1.00 m/s2)t2i. All quantities are SI units. What is the distance between object A and object B at timet= 3.00 s?
- 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.A juggler throws balls straight up in the air. After the balls leave his hand and while it is in the air, explain WHY each of the following four statement is FALSE. Write the right answer. (a) The velocity of the ball is always in the same direction as it's acceleration. (b) The velocity of the ball is never in the same direction as it's acceleration. (c) The acceleration of the ball is zero. (d) The velocity of the pin is the same direction as it's acceleration on the way up.
- A search and rescue helicopter travels at constant speed in a horizontal plane. The figure below shows a portion of the path traveled by the helicopter, as viewed looking down from above. The helicopter's path includes three straight portions between points "1" and "2", points "4" and "5", and points "7" and "8", each of which has a length of 4000 m, as shown in the figure. It takes the helicopter 2000 seconds to travel along each of these straight portions of its path. The semi-circular portions of the path (also shown in the figure) have the same radius R=500m. +y YNorth) 8. 4 4000 m A semi-circle is one half of a circle. East 6.A rocket's position (in meters) as a function of time (in seconds) is given below. Round all answers in this problem to one decimal place r² = (t² − 3t)i + (t³ + 3)ĵ (a) What is the magnitude of the rocket's (in m/s) velocity at t = 2.5 s? (b) In what direction is the rocket moving (in degrees) at t = 2.5 s? (c) What is the magnitude of the rocket's acceleration (in m/s²) at t = 2.5 s?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?