We investigated a jet landing on an aircraft carrier. In a later maneuver, the jet comes in for a landing on solid ground with a speed of 95 m/s, and its acceleration can have a maximum magnitude of 7.97 m/s² as it comes to rest. (a) From the instant the jet touches the runway, what is the minimum time interval needed before it can come to rest? (b) Can this jet land on a small tropical island airport where the runway is 0.800 km long? Yes No (c) Explain your answer.

The NEXT morning, you wake up in a strange room yet again, and this time you drop a ball from a height of 1.54 m above the floor. The ball hits the floor 0.392 s after your drop it. You guess that you must have been taken to an alien planet with gravity different from Earth s. What is this planet s g (that is, the magnitude of the acceleration due to gravity on this planet)?     10.0 m/s^2     15.0 m/s^2     30.0 m/s^2     20.0 m/s^2

You are designing a weather rocket that is to be launched from rest, vertically upward off the ground. The engine burn will last for 2.5 s. If the positive y direction is upward, away from the ground, then the acceleration during the engine burn (including the influence of gravity) is ay(t)=bt^3 with b = 16.79 m/s^5 and t the time from engine ignition. After the engine burns out, the acceleration is then ay(t)=−g. How long after the engine burns out does the rocket take to reach its maximum height?

A jet plane comes in for a landing with a speed of 120 m/s. The length of the runway is 500 m. From the instant the plane touches the runway,   what is the magnitude of the acceleration needed to stop within the runway? Write your answer in terms of m/s2.

A student stands at the edge of a cliff and throws a stone over the edge at an angle 0 above the horizontal. Ignoring the effects of air resistance, which of the following statements must be true? (There may be more than one correct answer). A plot of the horizontal position x vs. time t will have a constant and positive slope The horizontal range of the stone equals vo2sin(20)/g There is no point in the stone's motion in which the stone's speed matches its initial speed. A plot of the vertical velocity component vy vs. time t will have a constant and negative slope When the stone reaches its maximum height, its velocity will be zero

The fastest server in women's tennis is Sabine Lisicki, who recorded a serve of 131 mi/hmi/h (211 km/hkm/h) in 2014. Suppose that the acceleration of the ball was constant during the contact with the racket. If her racket pushed on the ball for a distance of 0.15 mm, what was the acceleration of the ball during her serve?

A jet plane comes in for a landing with a speed of 120 m/s. The length of the runway is 500 m. From the instant the plane touches the runway,          What is the time interval needed to come to rest (in seconds)?

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 particle's position is given by  z(t) = −(7.30 m/s2)t2  for  t ≥ 0.  (Express your answer in vector form.) (a) Find the particle's velocity at  t = 2.50 s  and  t = 3.25 s. (b) What is the particle's average velocity during the time interval from  t = 2.50 s  to  t = 3.25 s?

An astronaut exploring a distant solar system lands on a planet with a gravitational acceleration of 7.46 m/s2. What is the maximum height an astronaut could reach when jumping straight up starting with an initial speed of 1.80 m/s?