While standing on the roof of a building, a child tosses a tennis ball with an initial speed of 16 m/s at an angle of 25° below the horizontal. The ball lands on the ground 3.5 s later. How tall, in meters, is the building? m DETAILS OSCOLPHYS2016 3.4.WA.047. MY NOTES ASK YOUR TEACHER A soccer ball, kicked from ground level at an angle of 73.0° above horizontal, is in the air for 4.40 s. What was its initial speed, in m/s, just after it was kicked? Ignore air resistance. m/s
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- Tom the cat chases Jerry the mouse on a rooftop. They came between two buildings that are separated horizontally by a distance of 3.6 m and a drop of 2.8 m. To cross safely, Jerry has to jump in the horizontal direction with a minimum speed vo. a. calculate the minimum speed vo jerry needs to cross safely Tom jumps with a speed of 4.8 m/s at an angle of 45 degrees b. where does tom land c. by how much does tom clear the gap d. what is tom's velocity ( magnitude and direction) on landing.6. Each of the questions below refers to a projectile that is launched from the top of a tower, 45.0 m above the ground, at a speed of 12.5 m/s at an angle of 40.0° up from horizontal. a. Draw a diagram of the situation, labeling all of the known quantities. Also, use a dashed line to sketch in the path of the projectile from its launch until it hits the ground. b. Find the x and y components of its initial velocity. c. How long does it take to reach its maximum height? d. How high is its maximum height above the ground? e. How long is it in the air before it hits the ground? f. How far away from the base of the tower is it when it hits the ground? g. Find the x and y components of its velocity right before it hits the ground. h. Find its speed right before it hits the ground.A calculator may not be used on the following questions. A particle moves in the xy-plane so that its velocity vector for time 0 <<10 is (√36-67, 4t). Which one of the following statements is true about the particle when * = 1? Select one: a. The speed of the particle is √30 +4. O b. The particle is at rest. Oc. The particle is speeding up. Od. The particle is slowing down.
- 2 Gaetano shoots a basketball from a height of 6.5 ft with an initial vertical velocity of 17 ft/s. a Write an equation to model the height, h, of the basketball t seconds after Gaetano shoots it. b. What is the maximum height the basketball reaches? C. If the hoop is 10ft high, how long does it take the ball to go through the hoop? 3 You go to the gym to launch a rocket you made in physics class. Your rocket is launched upwards with an initial velocity of 40ft/s, and your friend's is launched upwards with an initial velocity of 38ft/s. The ceiling of the gym is 24ft high. Do either of the rockets hit the ceiling? Show all your work & explain your reasoning SS0Y A student throws a dart horizontally toward the center of a target, X, at a speed of 20 m/s as shown. The dart flies for 0.1 s and then hits below the center, at Y. How much lower, in m, does it hit? O 0.05 O 0.01 0.1 O 0.5 0.285. A plane travels N30°W at 450 mph and encounters a wind blowing due west at 30 mph. (See Example 9) a. Express the velocity of the plane v, relative to the air in terms of i and j. b. Express the velocity of the wind vw in terms of i and j. c. Express the true velocity of the plane v, in terms of i and j and find the true speed of the plane.
- On planet #3, you fire a projectile horizontally from the edge of a vertical cliff 69.9 m above the ground, with an initial speed of 59.8 m/s. The projectile lands 67.2 m away from the base of the cliff. What is the value of g for planet #3? a. 183.63 m/s^2 b. 110.71 m/s^2 c. 55.35 m/s^2 d. 49.18 m/s^2 2. On planet #4, you fire a projectile from the ground at an initial speed of 20.0 m/s at an angle of 43.1 degrees above the horizontal. The projectile lands 78.7 m away from the launch point. What is the value of g for planet #4? a. 3.5 m/s^2 b. 309.0 m/s^2 c. 211.6 m/s^2 d. 5.1 m/s^224 ee31.5 Or S wws bom the dt of 4m (e 3. Os the planet Mars, and ohect s thews om the ground and of 3. Whet is the wht is the maimum heighe wd wwle ae und snd lands the ground is i fight a total speed of the Wht is the spesd of the peopecile at the sop of its pathB. Critical Thinking. Answer the following items.
- A ball is thrown at an initial height of 65 feet at an initial velocity of 75 feet/second at an angle of 65 degrees. Given the parametric equations yY = - - 16t + Vo · Sin(0)t + ho and x = Vo Cos(0)t. When doing calculations, carry 5 digits of accuracy, so your round off does not build up. a. What is the ball's height in 3 seconds? feet. seconds. b. When will the object hit the ground? feet. c. How far horizontally will the ball be when it hits the ground? seconds. d. When will the ball be at its maximum height? e. What is the ball's maximum height? feet. feet f. How far horizontally will the ball be when it reaches its maximum height?A shot putter releases the shot some distance above the level ground with a velocity of 12.0 m/sm/s, 51.0∘∘ above the horizontal. The shot hits the ground 2.08 ss later. You can ignore air resistance 1. What is the x-component of the shot's acceleration while in flight? Express your answer in meters per second squared. 2. What is the y-component of the shot's acceleration while in flight? Express your answer in meters per second squared.1. 3.A helicopter blade spins at exactly 100 revolutions per minute. Its tip is 5.00 m from the center of rotation. (a) Calculate the average speed of the blade tip in the helicopter's frame of reference. (b) What is its average velocity over one revolution? 2. Acceleration is the change in velocity over time. Given this information, is acceleration a vector or a scalar quantity? Explain. 3. A commuter backs her car out of her garage with an acceleration of (a) How long does it take her to reach a speed of 2.00 m/s? (b) If she then brakes to a stop in 0.800 s, what is her deceleration