1. Constant Acceleration – 1. Constant Acceleration - 1 g Spaceship. Imagine that a spaceship can...
1. Constant Acceleration -1g Spaceship. Imagine that a spaceship can accelerate (starting from rest) at a sustained 1 g (9.8 m/sec') for any desired length of time. Make a table as follows Elapsed time 1 minute 1 hour dadayS 1 week (7 days) 1 month (30 days) m/sec km/sec km/sec km/sec km/sec Distance Travel meters kilometers millions of kilometers billions of kilometers billions of kilometers For each listed time, calculate both the attained velocity and the distance traveled. (The numbers...
A baseball of mass m is thrown vertically upward from a height r=0 with a speed of 20 meters/sec. The gravitational force on the baseball has a magnitude mg (m = mass, g=9.8 meters/sec2 is the acceleration due to gravity) and is directed downwards. Using Newton's second law, calculate the ball's height as a function of time and from that expression the maximum height of the ball.
A ball is thrown upward from the top of a building with a speed of 30 m/sec. The height of the building is unknown. Assume the acceleration due to gravity is 10 m/see?. 1. (2pts) Find the velocity of the ball -)as a function of timet. (Hint: a- du/dt- 10) 2. (2pts) When does the ball reach the highest point? 3. (2pts) Find the displacement traveled by the ball during 0 Sts5 4. (4pts) Find the total distance traveled by...
You throw a baseball directly upward at time t = 0 at an initial speed of 14.1 m/s. What is the maximum height the ball reaches above where it leaves your hand? Ignore air resistance and take g = 9.80 m/s2. maximum height: 10.143 m At what times does the ball pass through half the maximum height? earlier time at half maximum height: 1.035 Incorrect later time at half maximum height: 1.017 S Incorrect Classes are canceled due to snow,...
8. A rocket is launched vertically upwards and experiences an acceleration of 4x10 m.s2 for 8 seconds. After this time, the engine is turned off and the rocket continues to rise to its maximum height. (a) Explain (using Newton's third law) why the rocket moves forward during the first 8 seconds. (2) (b) Calculate the velocity of the rocket 8 seconds after launching (2) (c) How long after launching does the rocket reach its maximum height? (2) (d) (2) At...
The fastest serve of tennis champion Roger Federer stands at 230 km/h. Assuming constant velocity and that his opponent is 22 meters away (about the length of a tennis court), derive the time that the ball will take to reach the opponent. A rocket is launched from cape Canaveral with a constant acceleration of 20 m/s. After 2 minutes, – what is the speed of the rocket? – How far has the rocket traveled? Hint: Use the first and second...
At a height h = 44.0 m above the ground a rocket is fired at an initial speed v0 = 168.0 m/s at an angle θ = 27 degrees above the horizontal. Ignore air resistance. The magnitude of the gravitational acceleration is 9.8 m/s2. Choose the RIGHT as positive x-direction. Choose UPWARD as psotitive y-direction. Keep 2 decimal places in all answers (a) Find v0x, the x component of the initial velocity (in m/s) (b) Find v0y, the y component...
1. A rocket accelerates upward from rest during the first stage with a constant acceleration of a1 = 95.0 m/s2 for t1 = 30.0 s. The first stage then detaches and the second stage fires, providing a constant acceleration of a2 = 50.0 m/s2 for t2 = 60.0 s. (a) What is the total distance traveled by the rocket during both stages? (b) What is the speed of the rocket after the second stage burn?
1. In the Canadian Grand Prix auto race, the drivers travel a total distance of 552 km in 69 laps around the track. i) What is the distance of 1 lap? ii) If the race lasted 136 min 44 sec, what is the average speed of the car for the race? Express in km/h iii) If the fastest lap time is 2 min and 20 sec, what is the average speed for this lap? Express your answers in m/s. iv)...
In MATLAB At time t=0 when a rocket's engine shuts down, the rocket has reached an altitude of 500 m and is rising at a velocity of 125 m/s. The height of the rocket as a function of time is 9.8 h(t)= t? +125t+500 for t > 0 2 Create a time array t from O sec to 30 sec with an increment of 1 sec and a corresponding array for the height h. Plot the height of the rocket...