A Cessna aircraft has a lift-off speed of 120 km/hr. What minimum constant acceleration does this require if the aircraft is to be airborne after a take-off run of 240 m?

A penny is dropped from the observation deck of the Empire State building (325.0 m above ground). With what velocity would it strike the ground if air resistance were negligible? Assume the free-fall acceleration g = 9.80 m/s2. Ignore air resistance. If the velocity is downward, enter a negative value and if the velocity is upward, enter a positive value.

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…

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?

A train, traveling at a constant speed of 22.0 m/s, comes to an incline with a constant slope. While going up the incline, the train slows down with a constant acceleration of magnitude 1.40 m/s2. (A) What is the speed of the train after 7.20 s on the incline? (B) How far has the train traveled up the incline after 7.20 s?

A certain aircraft has a liftoff speed of 119 km/h. What minimum constant acceleration does the aircraft require if it is to be airborne after a takeoff run of 256 m? And How long does it take the aircraft to become airborne?

While riding in a hot air balloon, which is steadily descending at a speed of 2.69 m/s, you accidentally drop your cell phone. (a) After 3.00 s, what is the speed of the cell phone? v = m/s (b) How far is the cell phone below the balloon after this time? d = m (c) What are your answers to parts (a) and (b) if the balloon is rising steadily at 2.69 m/s? v = m/s d = m

Suppose a chinook salmon needs to jump a waterfall that is 1.44 m high. (a) If the fish starts from a distance 1.07 m from the base of the ledge over which the waterfall flows, find the x- and y-components of the initial velocity the salmon would need to just reach the ledge at the top of its trajectory. v0x = ? m/s v0y = ? m/s

A red ball is thrown down with an initial speed of 1.1 m/s from a height of 28 meters above the ground. Then, 0.5 seconds after the red ball is thrown, a blue ball is thrown upward with an initial speed of 24.3 m/s, from a height of 0.9 meters above the ground. The force of gravity due to the earth results in the balls each having a constant downward acceleration of 9.81 m/s?.

A jet plane has a takeoff speed of V= 103 m/sec and can move along the runway at an average acceleration of 1.75 m/s2. a) What is the distance needed for take-off? (b) How much time is required for take-off?