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- A ball is thrown into the air by a baby alien on a planet in thesystem of Alpha Centauri with a velocity of 49 ft/s. Its heightin feet after t seconds is given by y = 49t −25t2.a.) Find the average velocity for the time period beginningwhen t0 = 1 second and lasting for the given time.t = .01 sec:t = .005 sec:t = .002 sec :t = .001 sec: b.) Estimate the instanteneous velocity when t = 1.An object's position as a func of time is given by ; x(t) = - 200 (( t + 1 ) ^ - 1) + 6t^2. (Assume constants have proper SI Units) An object's instantaneous velocity at t = 3.00 seconds is 45.5 m/s What is the object's average velocity between t = 0 and t = 3.00 seconds? Answer is 68.0 m/s^2 What is the object's average acceleration between t = 0 and t = 3.00 s Answer : - 50.5 m/s^2An object's position in the as a function of time obeys the equation; x(t) = 14.2/t2.17 + 5.1t3 where all constants have proper SI Units. What is the speed of the object in the x direction at t = 1.93 seconds?
- 1039. A car accelerates for t sec from rest to a velocity of 48 ft per sec, the accelera- tion increasing uniformly from zero to 12 ft per sec?. During the next 4 sec, the car decelerates at a constant rate to a velocity of 4 ft per sec. Sketch the a-t, v-t, and 8-t curves.A spaceship is traveling at a velocity of v0 = (37.3 m/s)i when its rockets fire, giving it an acceleration of a = (2.55 m/s2)i + (4.19 m/s2)k. How fast, in m/s, is the rocket moving 6.06 s after the rockets fire?An object's position as a func of time is given by ; x(t) = - 200 (( t + 1 ) ^ - 1) + 6t^2. (Assume constants have proper SI Units) What are the object's instantaneous velocity at t = 3.00 seconds ? Answer = 48.5 m/s
- An object's position in the as a function of time obeys the equation; x (t) = 3t – 2t³ + 1.5t where all constants have proper SI Units. What is the speed of the object in the x direction at t = 1.75 seconds?A runner is moving with a speed of 2.68[m/s]. How long will it take the runner to complete a 5.0[km] race? Express your answer in seconds. Ignore the time it takes to reach this speed, and assume the runner is always at this speed.An object's position as a function of time is given by the expression; x(t) = 14.7/(t+1) + 2.9t3 - 14.7e 0.48t Where are values have proper SI Units. What is the object's instantaneous velocity at t = 5.66 seconds?
- One of my questions got solved and helped me so much thank you! Here’s another one please. Two trains are 9.82km apart. They travel in opposite directions, to each other. Train A has a speed of 5.87 km/h at departure and an acceleration of 0.29m/s squared. Train B has a speed of 20.3m/s at the start and an acceleration of 0.69m/s squared. B. Determine when the trains meet.A car traveling in a straight line with an initial velocity of 8.8m/s accelerates at a rate of 3.0m/s to a velocity of 23.8 m/s. Enter your answers to 3Sigfigs with proper units. What is the distance covered by the car in this process?A car is traveling at an unknown velocity. It accelerates constantly over 5.0s at a rate of 3.0(m)/(s^(2)) to reach a velocity of 30(m)/(s). What was the original velocity of the car?