An apple dropped from a hot air balloon reaches the ground in 29.7 s. Determine the height the apple is dropped from if the balloon is ascending with a speed of 46.8 m/s. Give your answer as an absolute value. x = m
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- Question 7. A car drives horizontally off the edge of a cliff that is 68.3 m high. The police at the scene of the accident note that the point of impact is 153 m from the base of the cliff. How fast was the car traveling when it drove off the cliff? Ans: 40.98 m/s ic ambuba inajeni noTER mA ball is thrown upward with an initial velocity of 11 m/s. The approximate value of g = 10 m/s2. Take the upward direction to be positive. What is the magnitude and the direction of the velocity of the ball 1 second after it is thrown? The magnitude of the velocity is ____m/s, and the motion is A) Upward B) DownwardA cart is propelled over an its greatest y coordinate? xy plane with acceleration components a, = 6.8 m/s? and a, = -1.5 m/s2. Its initial velocity has components Vox = 7.3 m/s and voy = 12.4 m/s. In unit-vector notation, what is the velocity of the cart when it reaches Number Units
- A hot air balloon is moving vertically upwards at a constant rate of 9.0 m/s. As the balloon rises, a package is dropped from the balloon and it takes 5 s to hit the ground. How far did the package fall? Make sure to include a diagram of the physical situation, label know and unknown quantities with units, coordinate system. Please use grade 12 kinematics and label the variables as v1, v2, a (Acceleration), t (time), d (displacement) Thanks!From a height of 11.0 m an object is sent directly downward with an initial velocity of 1.2 m/s. Determine how long the object stays in the air before touching the ground below. 1.38 s 1.20 s 1.86 s ○ 1.00 sWhile standing at the edge of the roof of a building, a man throws a stone upward with an initial speed of 6.61 m/s. The stone subsequently falls to the ground, which is 17.3 m below the point where the stone leaves his hand. At what speed does the stone impact the ground? Ignore air resistance and use ?=9.81 m/s2 for the acceleration due to gravity. A) Impact speed: _________________________ m/s B) How much time is the stone in the air? elapsed time: ____________ s
- A skydiver falls d1 = 435 meters in t1 = 7.9 s before opening his parachute. After the chute opens, he falls an additional d2 = 825 meters in t2 = 136 s. Calculate the skydiver’s average speed during the entire fall, vave, in meters per secondA hot-air balloon is rising upward with a constant speed of 2.39 m/s. When the balloon is 6.74 m above the ground, the balloonist accidentally drops a compass over the side of the balloon. How much time elapses before the compass hits the ground? Number i ! Units SUse the position function ?(?) = −4.9t2 + v0 + s0 for free-falling objects. A rock is dropped from the edge of a cliff that is 176.4 meters above the water A. Determine the position function for the rock B. Find the velocity function for the rock. C. Find the velocity when t = 2 seconds. D. Find the time required for the rock to reach the surface of the water E. Find the velocity of the rock at impact with the water.
- A particle is initially moving along the positive x-axis at a speed of 8.10 m/s. After 2.15 s, the particle is moving along the negative y-axis at a speed of 4.67 m/s. Find the x and y components of the particle's acceleration. x component y componentA boxer's fist and glove have a mass of m = 1.04 kg. The boxer's fist can obtain a speed of v = 9.25 m/s in a time of t = 0.21 s. Write a symbolic expression for the magnitude of the average acceleration, aave, of the boxer's fist, in terms of the variables provided. Find the magnitude of the average acceleration, aave, in meters per square second. Write an expression for the magnitude of the average net force, Fb, that the boxer must apply to his fist to achieve the given velocity. (Write the expression in terms of m, v and t.) What is the numerical value of Fb, in newtons?NASA has fired a rocket straight up into the air from ground level with an unknown initial velocity. It reaches a maximum height of 164,000 feet. This happened in Cape Canaveral therefore the rocket is under the acceleration of Earth's gavity in which we all know is -32 ft/sec/sec. Please round your answers to two decimal places. a). Find the time it takes for the rocket to reach maximum height. b). find the initial velocity necessary to reach that height.