You and your friend throw balloons filled with water from the roof of a several story apartment house. You simply drop a balloon from rest. A second balloon is thrown down- ward by your friend 3.8 s later with an initial speed of 74.48 m/s. They hit the ground simultaneously. How high is the apartment house? The acceleration of gravity is 9.8 m/s2. Neglect air resistance. Answer in units of m. 1. 92.7202 2. 74.529 3. 44.1 4. 105.95 5. 63.504
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- Alice is riding a bike at 12 mph, but decides to sprint. She takes 0.7 s to accelerate to 19 mph. At constant acceleration, calculate her acceleration, a/(ft/s2). (Here are possibly convenient conversion aids: 60 mph = 1 mi/min = 88 ft/s. This equation is exact. You may wish to verify the equation. One mile = 60*88 ft, and one hour = 60*60 s.)1. A ball is released from rest and slides down a frictionless incline. The below table summarizes the velocity v(m/s) of the ball, measured along the incline, as a function of time t(s). Using an Excel graph of v vs. t, the magnitude of the measured acceleration (in m/s²) is: t(sec) v(m/s) 0.5 2.09 14.11 1.5 6.32 28.26 2.5 10.37 O 4.142 O 8.284 O 9.80 O 1.70 O 2.071 O 3.40The NEXT morning, you wake up in a strange room yet again, and this time you drop a ball from a height of 2.20 m above the floor. The ball hits the floor 0.335 s after your drop it. You guess that you must have been taken to an alien planet with gravity different from Earth s. What is this planet s g (that is, the magnitude of the acceleration due to gravity on this planet)? 39.2 m/s^2 19.6 m/s^2 29.4 m/s^2 62.7 m/s^2
- The NEXT morning, you wake up in a strange room yet again, and this time you drop a ball from a height of 1.33 m above the floor. The ball hits the floor 0.365 s after your drop it. You guess that you must have been taken to an alien planet with gravity different from Earth s. What is this planet s g (that is, the magnitude of the acceleration due to gravity on this planet)? 40.0 m/s^2 20.0 m/s^2 10.0 m/s^2 15.0 m/s^2Ex. 2. A car driver in northern Ontario makes the following displacements: Ad₁= 15.0 km [W 30.0°N] Ad2 = 10.0 km [W 75.0°N] Ad3= 10.0 km [E 70.0° N] The trip takes 0.50 h. Calculate the average velocity of the car and driver in km/h.A space probe on the surface of Mars sends a radio signal back to the Earth, a distance of 7.27 ✕ 107 km. Radio waves travel at the speed of light (3.00 ✕ 108 m/s). How many seconds does it take for the signal to reach the Earth?
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- What is the magnitude of the displacement of a car that travels 5.9 mi east and then 1.8 mi north? One mile is 1609.34 meters.The NEXT morning, you wake up in a strange room yet again, and this time you drop a ball from a height of 1.54 m above the floor. The ball hits the floor 0.392 s after your drop it. You guess that you must have been taken to an alien planet with gravity different from Earth s. What is this planet s g (that is, the magnitude of the acceleration due to gravity on this planet)? 10.0 m/s^2 15.0 m/s^2 30.0 m/s^2 20.0 m/s^2I don't understand how to do this problem. I tried taking the derivative, but that didn't give me the correct answer. I would really appreciate the help. When a 1984 Alpha Romeo Spider sports car accelerates in the x-direction at the maximum possible rate,its motion during the first 20. seconds is extremely well modeled by the simple equation vx2=(60 m2/s3)t, where t is time in seconds and vx is in m/s. In other words, the squareof teh car's velocity increases linearly with time. What is its acceleration after 3s, assuming that the car starts from rest at t=0 s?