A Multistage Rocket . In the first stage of a two-stage rocket, the rocket is fired from the launch pad starting from rest but with a constant acceleration of 3.50 m/s 2 upward. At 25.0 s after launch, the second stage fires for 10.0 s. which boosts the rocket’s velocity to 132.5 m/s upward at 35.0 s after launch. This firing uses up all of the fuel, however, so after the second stage has finished firing, the only force acting on the rocket is gravity. Ignore air resistance, (a) Find the maximum height that the stage-two rocket reaches above the launch pad. (b) Mow much time after the end of the stage-two firing will it take for the rocket to fall back to the launch pad? (c) How fast will the stage-two rocket be moving just as it reaches the launch pad?
A Multistage Rocket . In the first stage of a two-stage rocket, the rocket is fired from the launch pad starting from rest but with a constant acceleration of 3.50 m/s 2 upward. At 25.0 s after launch, the second stage fires for 10.0 s. which boosts the rocket’s velocity to 132.5 m/s upward at 35.0 s after launch. This firing uses up all of the fuel, however, so after the second stage has finished firing, the only force acting on the rocket is gravity. Ignore air resistance, (a) Find the maximum height that the stage-two rocket reaches above the launch pad. (b) Mow much time after the end of the stage-two firing will it take for the rocket to fall back to the launch pad? (c) How fast will the stage-two rocket be moving just as it reaches the launch pad?
A Multistage Rocket. In the first stage of a two-stage rocket, the rocket is fired from the launch pad starting from rest but with a constant acceleration of 3.50 m/s2 upward. At 25.0 s after launch, the second stage fires for 10.0 s. which boosts the rocket’s velocity to 132.5 m/s upward at 35.0 s after launch. This firing uses up all of the fuel, however, so after the second stage has finished firing, the only force acting on the rocket is gravity. Ignore air resistance, (a) Find the maximum height that the stage-two rocket reaches above the launch pad. (b) Mow much time after the end of the stage-two firing will it take for the rocket to fall back to the launch pad? (c) How fast will the stage-two rocket be moving just as it reaches the launch pad?
An Osprey can fly horizontally (not diving) at a maximum speed of 70.0 km/hr. The bird takes off from rest at the edge of a cliff, heading east, and accelerates at a rate of 1.21 m/s2. The osprey can decelerate at higher rate of 2.43 m/s2. The Osprey can reach top speeds of about 84 mph. When doing so, it does not flap its wings. Rather, it relies on its gravitational force to accelerate it downwards.
a. Assuming that it starts from rest, and assuming that drag forces are slim, how long will it take for the osprey to reach its top speed?
b. How far does it travel during this time?
c. Near the top speed, drag forces become important, and in fact the terminal velocity is determined by the drag force. Assuming that the osprey's body can be modeled as a cylinder, with its cross-sectional area equal to that of a circle with radius of 10 cm, what is the coefficient of drag C for a hawk?
A person on a trampoline bounces straight upward with an initial speed of
4. 50 m/s. Take up as the positive y direction. What is the person's velocity when
she returns to her initial height?
-4. 50 m/s
O-4. 50 ŷ m/s
O+4. 50 m/s
O+4. 50 ŷ m/s
A student launches a small rocket which starts from rest at ground level. At a height h=1.04km, the rocket reaches a speed of vf=391m/s. At that height, the rocket runs out of fuel, so there is no longer any thrust propelling it. After the rocket's engine turns off at a height of h=1.04km, it continues to move upward due to the velocity that it reached. What is the rocket's acceleration, in meters per squared second, during the period from engine shutoff until it returns to the ground? Ignore air resistance.
Chapter 2 Solutions
University Physics with Modern Physics, Volume 2 (Chs. 21-37); Mastering Physics with Pearson eText -- ValuePack Access Card (14th Edition)
College Physics: A Strategic Approach (4th Edition)
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