1. Predict and sketch the position vs time and velocity vs time graphs of a free fall object that goes up first, and then falls back down. Give proper labels for x and y axes. Indicate the positive direction and the origin.
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- 1 Standing on the roof of a 74-m tall building, a girl holds her hand past the edge and throws a ball straight up at 9.8 m/s. The ball rises, then falls and strikes the ground. Considering "up" to be the positive direction, find the ball's velocity v when it is 45 m above the ground. Remember to include a "-" sign if the velocity is negative. U V= m/s Record your numerical answer below, assuming three significant figures.1. A person kicks a ball horizontally off of a cliff 8.3 m high and it lands 22 m away on the beach. a) Sketch the situation here with labeled events b) How long does the ball take to land? c) What was the initial velocity of the ball? d) How would the time change for the ball to hit the beach if the person hit it really hard? How about if they just let it drop? Explain your answer with sketches and words. hit horizontally dropped hit harder horizontally1. Draw a qualitative motion diagram (including both velocity and acceleration vectors) for the following objects in the following situations: Be sure to show the vector subtraction that supports how you got your acceleration vectors. a) Viewed from above, a car traveling around a traffic circle having radius R at constant speed. b) A person in a perfectly circular roller coaster loop-de loop having radius R. (Note: higher speed at the bottom of the loop than the top)
- Which of the following descriptions corresponds to a ball tossed vertically upward? Air resistance can be neglected. a. The velocity decreases linearly from v_0 to v_f, with v_0>0 and v_f<0. b. The velocity increases linearly from zero to v_f. c. The position first increases linearly and then decreases linearly as a function of time. d. The acceleration decreases linearly from g to zero.2. A jet plane has a takeoff speed of vtakeoff = 73 m/s and can move along the runway at an average acceleration of 2.4 m/s2. The runway is 1.2 km. Write out the 3 Kinetic equations. a. b. Write out the values of initial position, initial velocity, and acceleration. How many seconds will it take for the plane to reach takeoff speed? с. d. How far will the plane have to travel to get to takeoff speed? will the plane be able to get to take off before it gets to the end of the runway? е.A firework is launched with an initial velocity of 30 m/s at an angle of 65 degrees with respect to the horizontal. The peak height of the firework, just before it explodes. b. The vertical component of the firework’s velocity, just as it reaches the peak of its motion and explodes. c. The horizontal distance traveled by the firework, just as it reaches the peak of its motion and explodes.
- 2. A cart is moving at a constant 1 m/s on a straight track when a small ball is tossed vertically upward. Will the ball land in the cart? Explain the reasoning behind your answer and carefully state the assumptions you made in reaching your answers.1. According to legend, George Washington threw a silver dollar across the Potomac River, which is about 1600 m (1 mile) wide. For this problem, assume projectile motion and that the quarter was thrown at an angle of 45° and it landed at the same height it was thrown. A. How fast would he have had to throw the silver dollar to make it across the Potomac? B. Assess your answer from part a). Does this seem like a plausible feat?