13 Ulu 16 of 25 This The rocket reaches its maximum height at foot after seconds...
a toy rocket is launched from the top of a building 50 ft. tall at an initial velocity of 90 ft per second. Let t represent the amount of time elapsed after the launch. Solve. the answer is y= -16x2 + 90x + 50 How did the get the -16x squared??
Determine how long it will take until the rocket reaches macimum height A small rocket of weight 1.2 lbs is launched vertically with thrust 7 lbs from a stand on the ground at timet -0 seconds. It has a constant thrust for the first second, then no thrust after that. We will assume no air friction and ignore the mass change of the rocket for now. Determine how long it will take until the rocket reaches maximum height
A model rocket is launched straight up from ground level with an initial velocity of 96 feet per second. Its height, in feet, after t seconds is given by the equation 2 s t t t ( ) 16 96 . a. What is the model rocket’s maximum height and when in its flight does it reach this point? b. At what time(s) will it reach a height of 80 feet? c. After how many seconds will...
(c) The ball is at its maximum height after _____ seconds. (d) The maximum height of the ball is ______ meters (e) The ball traveled a total horizontal distance of _______ meters. (ROUND TO TWO DECIMAL PLACES) A baseball player throws a baseball with an initial speed of 155 feet per second at an angle of 23 to the horizontal. The ball leaves his hand at a height of 6 feet. (a) Find parametric equations that describe the position of...
in such a way that its height, h meters after t seconds is given by the equation h.-49%28 7t +42 How Atoy rocket i launched froma 42 high plat ong will it take for the rocket to hit the ground? The toy rocket will hit the ground after approximately □ seconds Type an integer or a decimal Round to the nearest hundredth as needed)
A rocket is fired upward from some initial distance above the ground. Its height in feet, h,above the ground, t seconds after it is fired, is given by h= -16t^2+32t+3584. What is the rocket's maximum height? ___ ft How long does it take for the rocket to reach its maximum height? t= ___sec After it is fired, the rocket reaches the ground at t= ___ sec.
A projectile is launched straight up in the air. Its height (in feet) t seconds after launch is given by the function () - 162? + 3021 5. Find its velocity 0.9 seconds after it is launched Its velocity is If necessary, round to two decimal places. Do not include units.
A model rocket is launched straight up from ground level with an initial velocity of 96 feet per second. Its height, in feet, after t seconds is given by the equation s(t)=-16t2+96t. At what time(s) will it reach a height of 80 feet? b. After how many seconds will it return to the ground? Question(s) a. and b. should also be answered in sentence form. In addition to showing the calculations that lead to your solution, write a synopsis of...
6. Thorough algebraic work to support the results is required for credit. A ball is thrown vertically upward from the top of a building 80 feet tall with an initial velocity of 43 feet per second. The distance, s (in feet), of the ball from the ground after t seconds is given by the function: als s(t) = 96 + 43t - 16t2 luty 1919 ini a. How long does it take for the ball to reach its ! highest...
a.) The acceleration of a rocket fired vertically upwards t seconds after launch is 20+2t ms−2 (as a rocket burns fuel it becomes lighter, so accelerates more quickly). What is the second order differential equation for the height of the rocket. h′′= b.) What is the general solution? (Please use A as the first constant of integration and B as the second): General solution: h = c.) Use the fact that at t = 0 the rocket was on the...