Beginning at time t=0,a rocket sled has velocity v=2bt+3ct^2 ,where b=2.00 m/s^2 and c=0.100 m/s^3 Determine the following: (a) instantaneous velocity at times 0.00, 5.00, and 10.0 s; (b) average acceleration for the first 10.0 s; (c) instantaneous acceleration at times 0.00, 5.00, and 10.0 s;

A ball is thrown upward from a height of  1.6 m  at an initial speed of  24 m/sec. Acceleration resulting from gravity is −9.8m/sec2. Neglecting air resistance, solve for the velocity v(t) and the height h(t) of the balltseconds after is is thrown. Ans...Velocity v(t)=_________meters/second

Consider a grey squirrel falling from a tree to the ground. Use a coordinate system in which positive is downward for this problem. a) Find the squirrel’s velocity, in meters per second, just before hitting the ground when it falls from a height of 1.3 m. Ignore air resistance.  b) The squirrel softens its landing by bending its legs when it touches the ground, thereby stopping itself over a distance of 7.6 cm. Assuming a constant rate of deceleration, find the squirrel’s acceleration during this process, in meters per second squared.

An object accelerating at constant acceleration (a) has an initial velocity v0 (at t=0), a velocity v at time t, and goes a particular distance d or x - x0 during the time interval.  Derive the expression relating v0, v, a, and d (or x-x0).  The relation must not include time.  You may use either algebra or calculus.