2018-West High School-Trimester 3
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Flipgrid Physics
Projectile Motion Quiz
Started: Mar 9 at 8:55am
Quiz Instructions
Please complete the following Projectile Motion Problems.
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Question 1 1 pts
The Burj Khalifa is the tallest building in the world located in Dubai, standing at approximately 827.7 meters.
If a penny were to be dropped from the top of this building, how long would it take to hit the ground (seconds) assuming that air resistance is minimal?
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Question 2 1 pts
A parachutist jumps from a hovering helicopter. How far (distance) will she fall in 7.2 seconds if she does not deploy her parachute?
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Question 3 2 pts
The first human cannonball, launched in 1877 at the Royal Aquarium in London, was a 14 year-old girl called "Zazel", whose real name was Rossa Matilda Richter. She was launched by a spring-style cannon invented by Canadian William Leonard Hunt ("The Great Farini"). She later toured with the P.T. Barnum Circus. Farini's cannon used rubber springs to launch a person from the cannon, limiting the distance he or she could be launched. "Human Cannonball." Wikipedia. Wikimedia Foundation, 27 Dec. 2013. Web. 25 Jan. 2014.
A daredevil tries to launch out of a canon and land safely in a safety net. The canon is set at a launch angle of 49.0 degrees to the ground. The intial launch velocity is 27.3 meters/second. How far away should the safety net be placed from the cannon?
A soccer player kicks a ball on a day without wind. It is launched off the player's foot at an angle of 35 degrees to the ground. How long is the ball in the air (seconds) before it hits the ground, if it has an intial launch velocity of 14.3 meters/second ?
These questions are really the same as the cannon ball one you asked below and I told you how to do.
To solve question 1, we need to calculate the time it takes for a penny to hit the ground when dropped from the top of the Burj Khalifa. This can be done using the equation of motion for free fall:
h = (1/2)gt^2
In this equation, h is the height (827.7 meters in this case), g is the acceleration due to gravity (approximately 9.8 m/s^2), and t is the time.
To find the time, we rearrange the equation to solve for t:
t = sqrt(2h/g)
Plugging in the values, we have:
t = sqrt(2 * 827.7 / 9.8)
Calculating this value will give us the time it takes for the penny to hit the ground.
To solve question 2, we can use the equation of motion for free fall again:
h = (1/2)gt^2
This time, we need to find the height (h) that the parachutist falls in 7.2 seconds. Since the parachutist does not deploy the parachute, we can assume that the acceleration due to gravity (g) remains constant. Thus, we can rearrange the equation to solve for h:
h = (1/2)gt^2
Plugging in the values, we have:
h = (1/2) * 9.8 * 7.2^2
Calculating this value will give us the distance the parachutist falls without deploying the parachute.
For question 3, we need to use the equations of motion for projectile motion. In this case, the cannonball is launched at an angle (49.0 degrees) and initial velocity (27.3 m/s). We need to find the horizontal distance (range) the cannonball travels before landing in the safety net.
The range of a projectile can be calculated using the equation:
range = (initial velocity^2 * sin(2 * launch angle)) / gravity
Plugging in the values, we have:
range = (27.3^2 * sin(2 * 49.0)) / 9.8
Calculating this value will give us the distance the safety net should be placed from the cannon.
For question 4, we need to find the time it takes for the soccer ball to hit the ground after being kicked at an angle of 35 degrees and an initial velocity of 14.3 m/s.
We can use the equation for vertical motion:
h = (initial velocity * sin(launch angle) * t) - (1/2)gt^2
In this equation, h represents the initial height (which can be assumed to be 0 in this case), g is the acceleration due to gravity (approximately 9.8 m/s^2), t is the time, and launch angle is the angle at which the ball is kicked.
Rearranging the equation to solve for t, we have:
t = (2 * initial velocity * sin(launch angle)) / g
Plugging in the values, we have:
t = (2 * 14.3 * sin(35)) / 9.8
Calculating this value will give us the time the ball is in the air before hitting the ground.