Two stones, A and B, are thrown horizontally from the top of a cliff. Stone A has an initial speed of 15 meters per second and stone B has an initial speed of 30. meters per second. Compared to the time it takes stone A to reach the ground, the time it takes stone B to reach the ground is (1) the same (2) twice as great (3) half as great (4) four times as great
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- A missile silo is used to launch military rockets vertically upward out of the silo, giving the rocket an initial speed of 79.6 m/s at ground level. As the rocket clears the silo, the engines fire, and the rocket accelerates upward at 3.90 m/s2 until it reaches an altitude of 1,080 m. At that point its engines fail, and the rocket goes into free fall, with an acceleration of -9.80 m/s². (You will need to consider the motion while the engine is operating and the free-fall motion separately. Due to the nature of this problem, do not use rounded intermediate values in your calculations-including answers submitted in WebAssign.) (a) Determine the velocity of the rocket (in m/s) at the end of the engine burn time and also the burn time (in s). (For the velocity, indicate the direction with the sign of your answer.) velocity at end of engine V = 92.22 Check your kinematic equation relating vo, V1, ay, and AYo → 1 (where velocity of rocket as it clears the silo, v, = velocity of the rocket at…A rocket blasts off and moves straight upward from the launch pad with constant acceleration. After 2.8 seconds the rocket is at a height of 91 meters. (A) What are the magnitude and direction of the rocket's acceleration? (B) What is it's speed at this time? Can you please solve the question using one or more of these equations: v = v0 +at vav = (1/2) times (v0 + v) x = x0 + (1/2) times (v0 + v) times t x = x0 + v0t + (1/2)at2 v2 = v02 + 2a(x - x0)A person sitting on the ground floor of a building notices through the window, of height 1.5 m, a ball dropped from the roof of the building and crosses the window in 0.1 s. What is the velocity of the ball when it is at the topmost point of the window? (g-10 m/s²) (1) 20 m/s (2) 15.5 m/s (3) 14.5 m/s (4) 4-5 m/s
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