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?
A rail gun shoots a projectile in a straight line with acceleration aa and in time tt as defined by the equation a(t)=3−2t. If the projectile from the launcher reaches a velocity of 10 at t=1 and if s(t) is the distance of the projectile from the rail gun at time t, find s(5)−s(1)
At t = 0, one toy car is set rolling on a straight track with initial position 13.0 cm, initial velocity -2.8 cm/s, and constant acceleration 2.30 cm/s2. At the same moment, another toy car is set rolling on an adjacent track with initial position 9.5 cm, initial velocity 6.00 cm/s, and constant zero acceleration.
At t = 0, one toy car is set rolling on a straight track with initial position 13.0 cm, initial velocity -2.8 cm/s, and constant acceleration 2.30 cm/s2. At the same moment, another toy car is set rolling on an adjacent track with initial position 9.5 cm, initial velocity 6.00 cm/s, and constant zero acceleration.
(a) At what time, if any, do the two cars have equal speeds?
(b) What are their speeds at that time?
In a marathon race Chad is out in front, running due north at a speed of 4.03 m/s. John is 97 m behind him, running due north at a speed of 4.70 m/s. How long does it take for John to pass Chad?
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