n an unknown planet, in which the acceleration due to gravity is constant, a rocket is aunched straight up. The velocity at t= 3.00 s is 10 m/s upward. Then, at t = 7.00 s, me velocity is -4.00 m/s downward. a. Draw a sketch of the situation. b. What is the initial velocity of the rocket? What is the acceleration that the rocket experiences?
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- An object rolls off a tabletop with a horizontal velocity v0x = 2.1 m/s. The table is at a height y0 = 0.75 m, above the floor. Use a coordinate system with its origin on the floor directly beneath the point where the object rolls off the table, its horizontal x-axis lying directly beneath the object’s trajectory, and its vertical y-axis pointing up. A. How long, in seconds, is the object falling before it hits the floor? B.How far, in meters, does the object land from the edge of the tabletop? C. What is the vertical component of velocity, in meters per second, when the object hits the ground? Recall that the positive y-direction is upwards. D. What is the magnitude of the velocity (it's speed) when it hits the floor?2. a. A particle is undergoing a uniform rectilinear motion and the displacement as a function of time is given by r(t) = 6tª- 2t³ -12t²+3t+3 where r is in meters and t is in seconds. b. What is a uniform rectilinear motion? c. Find the average acceleration of the particle between t = 0 and t = 2s d. When is the acceleration zero? = 3. The position of a particular particle as a function of time is given by r 9.60t i+ 8.58 j - 1.00t² k) m. Determine the particle's velocity and acceleration as a function of time.Suppose that the gravitational acceleration on a certain planet is only 3.0 m/s2. A space explorer standing on this planet throws a ball straight upward with an initial velocity of 18 m/s. a. What is the velocity of the ball 4 seconds after it is thrown? b. How much time elapses before the ball reaches the highpoint in its flight?
- Include a picture or description of your coordinate system (origin, positive direction).A rocket, initially at rest on the ground, accelerates straight upward from rest with constant (net) acceleration 44.1 m/s². The acceleration period lasts for time 8.00 s until the fuel is exhausted. After that, the rocket is in free fall. Part A Find the maximum height ymax reached by the rocket. Ignore air resistance and assume a constant free-fall acceleration equal to 9.80 m/s². Write your answer numerically in units of meters. Ymax = V—| ΑΣΦ ? m2. V A particle moves according to the equation ¤ = 10t², where is in meters and t is in seconds. (a) Find the average velocity for the time interval from 2.00 s to 3.00 s. (b) Find the average velocity for the time interval from 2.00 to 2.10 s.
- A small object moves along the x-axis with acceleration a₂ (t) = -(0.0320 m/s³) (15.0 s-t). At t=0 the object is at x = -14.0 m and has velocity Voz = 8.20 m/s. Part A What is the x-coordinate of the object when t = 10.0 s? Express your answer with the appropriate units. x= μА Value 4 m ? X Incorrect; Try Again; 2 attempts remaining2. 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 round with a mass of m= 11.5 g is shot out of a rifle that has length L= 1.14 m. The round spends t= 0.14 s in the barrel. a. Write an expression, in terms of the given quantities, for the magnitude of the rounds acceleration, a, as it travels through the rifles barrel. You may assume that acceleration is constant throughout the motion. b. Calculate the numerical value for the magnitude of the rounds acceleration, a in m/s square. c. What is the numerical value of the net force F NET in Newton’s acting in the round?
- The answer for this problem would be "C" but could you explain me why? The reason for this is to understand this kind of problems in the future not only this one.When you sneeze, the air in your lungs accelerates from rest to approximately 150 km/h in about 0.50 seconds. a. What is the acceleration of the air in m/s²?