calculus (gr 12)
posted by HELP MEE .
Determine the velocity and acceleration as functions of time, t, for s(t) = 45t − 5t^2, where
s(t) represents the distance as a function of time. (Hint: velocity and acceleration correspond to the first and
second derivatives of the distance)

calculus (gr 12) 
Reiny
v = 45  10t
a = 10
Respond to this Question
Similar Questions

Physics
A ball is thrown upward from the ground with an initial speed of 25 m/s; at the same instant, a ball dropped from rest from a building 15 m high. After how long will the balls be at the same height? 
physics
Given that x=Acos(wt) is a sinusoidal function of time, show that v(velocity) and a(acceleration) are also sinusoidal functions of time. (HINT: Use v=square root [(k/m)(A^2x^2)] and a=(k/m)X The hint tells you what to do: put Acoswt … 
physics
At t= 0, a particle starts from rest at x= 0, y= 0, and moves in the xy plane with an acceleration >a (vector) = (4.0ihat+ 3.0jhat)m/s^2. Assume t is in seconds. Determine the x component of velocity as a function of time t. Determine … 
Grade 12 Calculus
Determine the velocity and acceleration as functions of time, t, for s(t) = 45t − 5t^2, where s(t) represents the distance as a function of time. (Hint: velocity and acceleration correspond to the first and second derivatives … 
calculus (gr 12)
Determine the velocity and acceleration as functions of time, t, for s(t) = 45t − 5t^2, where s(t) represents the distance as a function of time. (Hint: velocity and acceleration correspond to the first and second derivatives … 
Physics
A car starts from rest and accelerates at a rate of 1 m/s^2 until it reaches a velocity of 7 m/s. It then travels at a constant velocity for the next 15 seconds. The driver then applies the brake, bringing the car to stop. The brakes … 
Math889
A particle moves according to a law of motion s = f(t), t ≥ 0, where t is measured in seconds and s in feet. f(t) = te−t/4 (a) Find the velocity at time t (in ft/s). v(t) = (b) What is the velocity after 1 s? 
Physics
Suppose the position of an object at time t is (6 + 5t, 2t2, 7t − 5t3). (a) What is the instantaneous velocity at time t? 
Math
Please help me!!! The table below represents the velocity of a car as a function of time: time Velocity seconds (m/s) x f (x) 15 45 22 66 29 87 36 108 The average rate of change of the function between x = 15 to x = 29 is __________m/s2 … 
Calculus
s(t) = t^2  6t + 5 models the motion of a person cycling along Rte 66 where s(t) is the number of miles north of Los Angeles the person is at time t hours. 1) Write functions for the cyclist's velocity and acceleration at any time …