The acceleration of a jeepney is given by ax(t) = at - Bt^2; where a= 1.50 m/s^3 and ß = 0.120 m/s^4 The motorcycle is at rest at the origin when time t=0. a. Find its position and velocity as functions of time. b. Calculate the maximum velocity it attains.

1. A particle moves according to the equation x = 2t³ - 2t + 1, where x is in meters and t in seconds. (a) Find instantaneous acceleration as a function of time. (b) Find the value of the instantaneous acceleration at t = 3.5 s.

7. The height of a helicopter above the ground is given by h =20.0 t-5.0 t where h is in meters and t is in seconds. At t=1.00 s, the helicopter releases a small mailbag. a) What is speed of a mailbox before hint to the ground? b) How long mailbox in air? 8. Starting from rest at 5 m from origin, a small still ball's horizontal component of velocity is 90.0 mile/hour in a straight line in 10.0 s. Ball's acceleration is constant during the entire motion, what is ball's final position?

A particle travels along the +x axis. At t = 0 s, its velocity is 10.0 m/s and its acceleration is -2.0 m/s^2.  Question A: Which of the following statements is true?           1. The particle will slow down and eventually come to a complete stop           2. The particle cannot have a negative acceleration and be moving in the positive x direction           3. The particle will continue to move in the positive x direction, slowing but never coming to a complete stop.           4. The particle will slow down, stop momentarily, then speed up in the x- direction.  Question B: At what time will the particle be stopped?           1. t = 5.0 s          2. t = -5.0 s          3. t = -0.2 s          4. The particle does not ever stop  Question C: What is the particle's displacement from its initial position at t = 10.0 s ?  Please Answer questions A, B, and C

The next few questions challenge you to figure out the acceleration due to gravity ( g ) on various hypothetical alien planets. On Planet #1, you drop a stone from rest, 76.1 m above the ground, and the stone hits the ground 6.17 s later. What is the value of g on Planet #1?     24.67 m/s^2     4.00 m/s^2     2.00 m/s^2     12.33 m/s^2

NASA has fired a rocket straight up into the air from ground level with an unknown initial velocity. It reaches a maximum height of 164,000 feet. This happened in Cape Canaveral therefore the rocket is under the acceleration of Earth's gavity in which we all know is -32 ft/sec/sec.                                           Please round your answers to two decimal places. a). Find the time it takes for the rocket to reach maximum height. b). find the initial velocity necessary to reach that height.

A stone is thrown vertically down a well at a speed of 2.7 m s¹. It takes the stone 2.02 s to reach the water at the bottom of the well. Calculate i. the speed with which the stone is falling just before it touches the water. ii. the depth of the well (The acceleration due to gravity is 9.81 m s-2. Air resistance is negligible.)

A particle moves along the x axis according to the equation x = 2.10+ 2.96t - 1.00t2, where x is in meters and t is in seconds. (a) Find the position of the particle at t = 2.90 s. m (b) Find its velocity at t = 2.90 s. m/s (c) Find its acceleration at t = 2.90 s. m/s²

At a moment when a rocket is 1120 m above the ground, it is traveling straight upward with a speed of 955 m/s. At this instant a small piece detaches from the rocket and begins freefall travel. 1. a) Find the velocity of the piece the instant before it hits the ground. b) Find the time required for it to reach the ground.

A car traveling 95 km/h slows down at a constant 0.50 m/s² just by "letting up on the gas." ▾ Part A Calculate the distance the car coasts before it stops. Express your answer using two significant figures. IVE ΑΣΦ £—20 = Submit Request Answer Part B Calculate the time it takes to stop. Express your answer using two significant figures. tstop= | ΑΣΦ ? ? S m