# What is the instantaneous velocity of an object with position at time t equal to # f(t)= (t^2-8,tsqrt(t^2+3t-4)) # at # t=2 #?

Velocity vector

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

The instantaneous velocity of the object at ( t = 2 ) is ( (4, 4\sqrt{3}) ).

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.

- What is the derivative definition of instantaneous velocity?
- What is the slope of the tangent line to the graph of #y=e^-x/x+1# at x=1?
- How do you find an equation of the tangent line to the curve at the given point #y=tan^2(3x)# and #x=pi/4#?
- The cost function for a product is C(x)=0.8x^2 +120x+110. How to find average cost over [0,600] ?
- How do you find the slope of the secant lines of #f(x) = 7x^2# at #(4, f(4))# and #(4+h, f(4+h))#?

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