A missile silo is used to launch military rockets vertically upward out of the silo, giving the rocket an initial speed of 79.2 m/s at ground level. As the rocket clears the silo, the engines fire, and the rocket accelerates upward at 3.80 m/s until it reaches an altitude of 1,140 m. At that point its engines fail, and the rocket goes into free fall, with an acceleration of -9.80 m/s. (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 burn time m/s engine burn time %3D (b) Determine the maximum altitude of the rocket (in m) and the total time (in s) for the rocket to reach this altitude from ground level. maximum altitude m time to reach maximum altitude (c) Determine the rocket's velocity (in m/s) just before ground impact and its total time of flight (in s). (For the velocity, indicate the direction with the sign of your answer.) velocity just before ground impact m/s total time of flight

A particle starts from the origin at r=0 with a velocity of 8.0 m/s and moves in the xy plane with constant acceleration (3.5i +1.7)) m/s1. (a) When the particle's x coordinate is 27 m, what is its y coordinate? (b) When the particle's x coordinate is 27 r. what is its speed? m/s

A ball is suspended from a light 1.3 m string . The string makes an angle of 24 degrees with the vertical. The ball is then kicked up and to the right such that the string remains taut the entire time the ball swings upwards. This kick gives the ball an initial velocity of 1.1m/s. What will be the speed, in meters per second, of the ball when it reaches its lowest point (θ = 0)?  What will be the maximum angle, in degrees, the string will make with the vertical?

A small lead ball, attached to a 1.45-m rope, is being whirled in a circle that lies in the vertical plane. The ball is whirled at a constant rate of three revolutions per second and is released on the upward part of the circular motion when it is 1.7 m above the ground. The ball travels straight upward. In the absence of air resistance, to what maximum height above the ground does the ball rise?

a skateboarder moving at 5.90 m/s along a horizontal section of a track that is slanted upward by θ = 46.0° above the horizontal at its end, which is 0.790 m above the ground. When she leaves the track, she follows the characteristic path of projectile motion. Ignoring friction and air resistance, find the maximum height H to which she rises above the end of the track.

A child throws a stone downward from the top of a cliff with a speed of 4m/s. You notice that it took 2 seconds for the stone to hit the ground. What is the height of the cliff? (Start with a function for the acceleration using g ≈ 9.8m/s2 .

An object is thrown straight upward with an initial velocity of 20.0 m/s j. Upon reaching the ground below, its velocity is -30.8 m/s j. From what distance above ground level was the object thrown?

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 skater with mass 66 kg is skating on a horizontal surface at a constant speed 4.2 m/s. There is a ramp ahead, and the skater has just enough speed to make it to the top of the ramp (meaning the speed at the top of the ramp is 0 m/s). What is the height of the ramp in the unit of meters? Use g = 10 m/s2 for the acceleration due to gravity.

Chris and Steve push a huge boulder (m = 65 kg) to the top of an 18 m cliff. The boulder is moving with a speed of 6.0 m/s when it tumbles over the edge of the cliff. How fast will it be going when it hits the ground? (no air resistance)