rocket is launched straight upward with an initial speed of 48.0 m/s. It accelerates with a constant upward acceleration of 3.00 m/s2 until its engines stop at an altitude of 100 m. (a) What is the maximum height reached by the rocket? (b) How long after liftoff does the rocket reach its maximum height? (c) How long is the rocket

A small mailbag is released from a helicopter that is descending steadily at 1.76 m/s. (a) After 5.00 s, what is the speed of the mailbag? V = m/s (b) How far is it below the helicopter? d = m (c) What are your answers to parts (a) and (b) if the helicopter is rising steadily at 1.76 m/s? m/s V = d = m

A cargo helicopter, descending steadily at a speed of 3.9 m/s, releases a small package. Let upward be the positive direction for this problem. (a) If the package is 26 m above the ground when it is dropped, how long (in s) does it take for the package to reach the ground

The initial speed of a ball thrown straight upward is 17.3 m/s, and then it is caught at the same distance above the ground. How high does the ball rise? How long does the ball remain in the air?

A hoodlum throws a stone vertically downward with an initial speed of 15.0 m/s from the roof of a building, 36.0 m above the ground. (a) How long does it take the stone to reach the ground? (b) What is the speed of the stone at impact?

Some troublemaking kids are dropping water balloons from the roof of your apartment building. You are in your fifth-floor room and your window is 25 m above the sidewalk outside. You look outside and see that each balloon hits the pavement 1.5 s after passing your window. Express answers using 2 significant figures. a) How fast are the balloons traveling when they pass your window? b) Assuming the balloons are being released from rest, from what height above your window are they being released? c) If you threw a balloon upwards from your window with an initial speed of 6.5 m/s, would you be able to get it to the roof?

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 cargo helicopter, descending steadily at a speed of 3.8 m/s, releases a small package. Let upward be the positive direction for this problem. (a) If the package is 94 m above the ground when it is dropped, how long does it take for the package to reach the ground? (a) What is the initial velocity of the package? How does it compare to that of the helicopter? What is its sign? What about the magnitude and sign of the acceleration? s(b) What is its velocity just before it lands? (Indicate the direction with the sign of your answer.)

A particle moves along the x axis. It is initially at the position 0.250 m, moving with velocity 0.090 m/s and acceleration -0.430 m/s2. Suppose it moves with constant acceleration for 5.80 s. (a) Find the position of the particle after this time. (b) Find its velocity at the end of this time interval. m/s We take the same particle and give it the same initial conditions as before. Instead of having a constant acceleration, it oscillates in simple harmonic motion for 5.80 s around the equilibrium position x = 0. Hint: the following problems are very sensitive to rounding, and you should keep all digits in your calculator. (c) Find the angular frequency of the oscillation. Hint: in SHM, a is proportional to x. /s (d) Find the amplitude of the oscillation. Hint: use conservation of energy. (e) Find its phase constant e, if cosine is used for the equation of motion. Hint: when taking the inverse of a trig function, there are always two angles but your calculator will tell you only one and…

You launch a model rocket from ground level. It moves directly upward with a constant acceleration of 79.0 m/s2 for 1.50 seconds, at which point it runs out of fuel. Assuming air resistance on the rocket is negligible, what is the maximum altitude (above the ground) achieved by the rocket?