A rock dropped from a cliff falls one-fourth of its total distance to the ground in the last second of its fall. Determine the height of the cliff.
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Hi, can i have help with this problem ? Thanks :).
. A rock dropped from a cliff falls one-fourth of its total distance to the ground in the
last second of its fall. Determine the height of the cliff.
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- A ball takes t seconds to fall from a height h, and 2t seconds to fall from height h, then find the ratio of h, and h, .The 2010 Soccer World Cup played here in South Africa will always be a history to remember. That was when Simphiwe Tshabalala scored a beautiful long range shot when Bafana Bafana was playing against Mexico in the opening game. After kicking the ball, it touched the goal-line (at ground level) 35.00 m from where he kicked it, and the maximum height reached by the ball was 6.50 m. Use the above information to answer questions 12 to 15. Calculate: 12. Calculate the time at which the ball reached this maximum height. 13. The angle at which Tshabalala kicked the ball relative to the ground. 14. The vertical component of the initial velocity, Voy. 15. The initial velocity at which he kicked the ball.MY NOTES A small metal ball is kicked from the edge of a cliff. Its x- and y-coordinates as functions of time are given by x = 19.7t and y = 4.20t – 4.90t, wherex and y are in meters and t is in seconds. (Do not include units in your answer.) (a) Write a vector expression for the ball's position as a function of time (in m), using the unit vectors î and j. (Give the answer in terms of t.) By taking derivatives, do the following. (b) Obtain the expression for the velocity vector v as a function of time (in m/s). (Give the answers in terms of t.) m/s (c) Obtain the expression for the acceleration vector a as a function of time (in m/s?). m/s? a (d) Next, use unit-vector notation to write expressions for the position, the velocity, and the acceleration of the metal ball at t = 2.76 s. (Assume the position is in m, the velocity is in m/s and the acceleration is in m/s?.) m/s m/s? a =
- can you please ans part ( b) & part ( d) ?Can someone help me in finishing this? I am near to the answer but I do not know how to solve this one to get the final answer, magnitude. Thank you!A projectile is launched at a 45 degree angle above horizontal at 50 m/s. It lands atop a cliff after 6.1777s. - How high is the cliff AND what is the horizontal displacement at impact?
- tourist throws a rock horizontally off the edge of a high cliff, with an initial velocity of lo m.s! a) Taking the y-axis to be upward, write equa- tions for the x- and y. coordinates as functions of time. b) Calculate the values of x and y at times t=0, 0.5, 1.0, 1.5 and 2.0 S c) Write equations for the x and y components of the rock's velocity. d) Find the magnitude and direction of the velocity at time to los. Is the velocity tangent to the trajectory?A golf ball was hit and follows a trajectory path. It travels 28m/s upon hitting at 400 with respect to horizontal ground. 1. Calculate the maximum height that the ball will reach above the ground. 2. Calculate the range of the ball upon hitting back to ground. 3. Calculate the total time that the ball is in the air.1) A dog. initially at position 2.8 m [W] of its owner, runs to retrieve a stick that is 12.6 m [E] of its owne. a) Draw an illustration showing the position and displacement vectors in this situation. b) Determine the displacement the dog needs to reach the stick. 2) The table below gives the position-time data of a ball that has left a bowler's hand and is rolling forward. Detemine the displacement between the following times: (Please refer to the photo) 3) A motorcycle took only 6.0 seconds to go from rest to 78 m/s (2.8 x 102 km/hr), earning the world record for motorcycle acceleration. Calculate the magnitude of the record average acceleration in m/s2
- What is the sum of the vectors with components (0,-3) ad (-1,2)? A. (-1,-1). B. (1,1) C. -2 D. (1,5)#3) Use the figure for projectile motion. You are working on your jump shot. The magnitude of the initial velocity for the ball is vo = 9.5 m/s and the angle you launch it is at 37.0°. Note the ball's initial starting height is h = 1.90 m. Most of your points will come from setting up the equations correctly and your algebra manipulation prior to plugging in numbers. Numbers last. Report answers to 3 sig figs. ECANSU h (A) Find the total time the ball is in the air, from h to the time it hits the ground. (B) Find the maximum horizontal distance the person can throw ball given these conditions.Situation 01. Christopher is walking down a road when he observes a nearby mountain that a boulder is falling. he notices thatit took 1.3Os for the boulder to fall the last third of its way to the ground. Determine the height of the mountain.