# How do you find the acceleration for the function #s(t)=-16t^2+100t +20# ?

By signing up, you agree to our Terms of Service and Privacy Policy

To find the acceleration function, you need to take the second derivative of the position function ( s(t) ) with respect to time (( t )). The position function given is ( s(t) = -16t^2 + 100t + 20 ). Taking the second derivative of ( s(t) ) with respect to ( t ) yields the acceleration function, denoted as ( a(t) ).

[ s(t) = -16t^2 + 100t + 20 ] [ v(t) = \frac{ds}{dt} = \frac{d}{dt}(-16t^2 + 100t + 20) ] [ a(t) = \frac{dv}{dt} = \frac{d}{dt}\left(\frac{ds}{dt}\right) = \frac{d^2s}{dt^2} ]

Now, differentiate ( s(t) ) twice with respect to ( t ) to find ( a(t) ).

[ a(t) = \frac{d}{dt}(-16t^2 + 100t + 20) ] [ a(t) = -32t + 100 ]

So, the acceleration function for the given position function is ( a(t) = -32t + 100 ).

By signing up, you agree to our Terms of Service and Privacy Policy

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- Is #f(x)=-2x^5-3x^4+15x-4# concave or convex at #x=-4#?
- How do you determine whether the function # f(x) = 2x^3 + 3x^2 - 432x # is concave up or concave down and its intervals?
- How do you find the maximum, minimum and inflection points and concavity for the function #f(x)=6x^6+12x+6#?
- For what values of x is #f(x)= 7x^3 + 2 x^2 + 7x -2 # concave or convex?
- How do you find the stationary points for #f(x)=x^4# ?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7