A bullet is fired through a wooden board with a thickness of 8.0 cm. The bullet hits the board perpendicular to it, and with a speed of +350 m per s. The bullet then emerges on the other side of the board with a speed of +210 m per s. Assuming constant acceleration (rather, deceleration!) of the bullet while inside the wooden board, calculate the acceleration.

A 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?

Assume an intercontinental ballistic missile goes from rest to a suborbital speed of 8.50 km/s in 70.0 s (the actual speed and time are classified). What is its average acceleration in meters per second and in multiples of g (9.80 m/s^2) ?

Recently a space x launch vehicle was coasting at a constant velocity of 15m/s in the + y direction relative to a space station . The pilot of the vehicle fired a special RCS thruster which causes it to accelerate at 8m/s^2 in the +x direction . After 9.1 s the pilot shuts off the RCS thruster . After RCS thruster is turned off find the magnitude of the vehicles velocity in +x direction.

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 spacecraft starts from rest, and makes a journey to a destination 220000 km from its starting point. It does so by accelerating at a constant rate of 7.51 m/s^2 up to the midpoint of the journey, and then decelerates at the same constant rate of 7.51 m/s^2 for the second half of the journey, ending at rest. How long did the entire journey take?

A Lockheed Martin F-35 Lightning II jet takes off from an aircraft carrier with a runway length of 107 m and a takeoff speed 77 m/s at the end of the runway. Jets are catapulted into airspace from the deck of an aircraft carrier with two sources of propulsion: the jet propulsion and the catapult. At the point of leaving the deck of the aircraft carrier, the F-35's acceleration decreases to a constant acceleration of 4.8 m/s2 at 23° with respect to the horizontal. (Assume that the F-35's initial direction along the deck of the aircraft carrier is the +x-direction and that the +y-direction is up.)   What is its velocity and speed at this time? (Enter your answers in m/s.) v(5.4 s)= (?î +?ĵ)   v(5.4 s)=   ? m/s How far (in m) has it traveled horizontally?

A hot-air balloon is rising upward with a constant speed of 2.55 m/s. When the balloon is 2.91 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?

Please answer all question parts: A Lockheed Martin F-35 Lightning II jet takes off from an aircraft carrier with a runway length of 97 m and a takeoff speed 72 m/s at the end of the runway. Jets are catapulted into airspace from the deck of an aircraft carrier with two sources of propulsion: the jet propulsion and the catapult. At the point of leaving the deck of the aircraft carrier, the F-35's acceleration decreases to a constant acceleration of 4.3 m/s2 at 33° with respect to the horizontal. (Assume that the F-35's initial direction along the deck of the aircraft carrier is the +x-direction and that the +y-direction is up.) (a) What is the initial acceleration (in m/s2) of the F-35 on the deck of the aircraft carrier to make it airborne? (Enter the magnitude.) (b) Write the position (in m) and velocity (in m/s) of the F-35 in unit vector notation from the point it leaves the deck of the aircraft carrier. (Use the following as necessary: t.) (c) At what altitude (in m) is…

A fish swimming in a horizontal plane has velocity V₁ = (4.00 i + 1.00 ĵ) m/s at a point in the ocean where the position relative to a certain rock is r = (16.01- 3.60 ĵ) m. After the fish swims with constant acceleration for 15.0 s, its velocity is = (15.01 - 1.00 j) m/s. (a) What are the components of the acceleration of the fish? ax = m/s2 m/s2 ay = (b) What is the direction of its acceleration with respect to unit vector î? counterclockwise from the +x-axis (c) If the fish maintains constant acceleration, where is it at t = 24.0 s? x = y = m In what direction is it moving? counterclockwise from the +x-axis