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Average speed is given by
Where S = total distance covered, t = total time taken
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- 1. A ball is thrown upward from the top of a 50 meter high building with an initial speed of 25 m/s.a. How much time does it take to reach the ground?b. What velocity does it have when it reaches the ground?The velocity vs. time graph for an object in motion is shown below. What is the total distance traveled by the object? velocity vs time 2.5 2 1.5 1 0.5 1 2 4 5 -0.5 -1 -1.5 time (s) 16 m 4 m 8 m 2 m 3. velocity (m/s) O O OA motorist starts from rest and traveled as seen in the speed-time graph. The total distance traveled and the average velocity in m/s for the distance traveled is 1.5 3.0 4.5 6.0 7.5 Time in minutes Select one: O a. 7.5 km, 4.5 m/s b. 10 km, 1.5 m/s c. 4.5 km, 10 m/s Reply... Speed in km/h :
- 1. It takes you 10 min to walk with an average velocity of 2 m/s to The North from The Grocery Shop to your house. What is your displacement?A stone is thrown straight up from the edge of a roof, 650 feet above the ground, at a speed of 16 feet per second.A. Remembering that the acceleration due to gravity is −32ft/sec^2, how high is the stone 5 seconds later?B. At what time does the stone hit the ground?C. What is the velocity of the stone when it hits the ground?A stone is dropped at height 500 m from the ground. After 2 seconds, another stone isthrown upward with an initial velocity of 70 m/s. Assume acceleration due to gravity is9.81 m/s2.a. What is the time when they will meet?b. What is the height h, from the ground, where they will meet?
- 7. An elevator in a high-rise building goes up and down at the same speed. Starting at the ground floor, Rafael and Monica ride up five floors, a vertical rise of 20 m. The elevator stops for 10 s as Monica gets off. Rafael then goes back down two floors. Rafael's entire trip takes 24 s. Take the origin to be at the ground floor. a. Sketch the position vs time graph b. Sketch the velocity vs time graph 8. This is the velocity-versus-time graph for an object moving v, (m/s) along the x-axis. a. During which segment(s) is the velocity constant? b. During which segment(s) is the object speeding up? c. During which segment(s) is the object slowing 3- A 2- 1- B (s) 10 down? 3 4 5 6 8 -1 d. During which segment(s) is the object standing still? C -2- D e. During which segment(s) is the object moving to the right (in the positive x-direction)? -3-An object is thrown straight up with an initial velocity of 31 m/s. a. How high does it go in meters? b. How long is it in the air in seconds?1. Jack drives a distance of 160 miles at an average speed of 35 miles/hr, followed by a distance of 190 miles at 75 miles/hr. What is his average speed over the 350-mile trip? Hint: Draw a labeled sketch of the trip. V avg miles per hour
- A particle moves according to the equation x(t) 10t + 2t2 - 5, where x is in meters and t is in seconds. a. Find the average velocity for the time interval from 2.00 s to 3.00 s. b. Find the average velocity for the time interval from 2.00 s to 2.10 s. c. Find the expression for the instantaneous velocity at any time t. d. Find the velocity at t=2 s and at t=3 s. e. What is the average acceleration from t-1s to t-4s? f. Find the expression for the acceleration at any time t. g. What is the acceleration at t=1s and at t=4s?13. A boy walks 155 m at a speed of 3.5 m/s and then runs for 100 m at 8.2 m/s along a straight line. Calculate his average velocity. 14.A boat can accelerate from 2 to 21 km/h in 10 s. How far has the boat travelled in this time?Q1.An electron, in a picture tube of a TV set, travelling in a straight line, accelerates uniformly from speed 4.3x10^4 to 9.0x10^6 m/s along a lenght of 2.3 cm. (15) a. How much time does the electron spend in this 2 cm region? b. What is the magnitude of the electron's acceleration?