# Calculus

posted by .

Suppose that an object moves along an s-axis so that its location is given by s(t)=t^2+4t at time t.(Here is in meters and is in seconds.)
(a) Find the average velocity of the object in meters per second over the time interval t=2 to t=9 seconds.

Average velocity = ? m/s.

(b) Find the instantaneous velocity of the object in meters per second at t=5 seconds.

Instantaneous velocity = ? m/s.

• Calculus -

same way as the other one but here
v = ds/dt = 2 t + 4
so at t = 5
v = 2(5) + 4 = 14 m/s

• Calculus -

333

## Similar Questions

1. ### Math

The location of an object on the x-axis at time t seconds is given by x(t)= a + mt, where a, m are constants. (a) Where is the object located at time t=1?
2. ### algebra

The formula below can be used to find the distance (d) traveled by an object, where v represents the initial velocity of the object, t represents the time, in seconds, and d represents the acceleration, in meters per second squared. …
3. ### algebra

The formula below can be used to find the distances (d) traveled by an object, where v represents the initial velocity of the object, t represents the time, in seconds, and a represents the acceleration, in meters per second squared. …
4. ### Math - PreCalc (12th Grade)

If the distance covered by an object in time t is given by s(t) = 2t2 + 3t, where s(t) is in meters and t is in seconds, what is the average velocity over the interval from 2 seconds to 4 seconds?
5. ### phyics

Consulting the graph shown in (Figure 1) , determine the object's average velocity over the time interval from 2 to 4 seconds. Express your answer in meters per second to the nearest integer. Position versus time graph for an object …
6. ### phyics

Consulting the graph shown in (Figure 1) , determine the object's average velocity over the time interval from 2 to 4 seconds. Express your answer in meters per second to the nearest integer. Position versus time graph for an object …
7. ### Sam E

Let v(t)=t^2−3t be the velocity, in feet per second, of an object at time t , in seconds. (c) What is the meaning of the quantity v(4)?
8. ### Math Help

Let v(t)=t^2−3t be the velocity, in feet per second, of an object at time t , in seconds. (c) What is the meaning of the quantity v(4)?
9. ### Maths

object thrown upward from an initial height of h0 feet with an initial velocity of v0 (in feet per second) is given by the formula h(t)=−16t^2+v0t+h0 feet where t is the amount of time in seconds after the ball was thrown. Also, …
10. ### Calculus

Suppose a certain object moves in a straight line with velocity v(t)= -2+t+3sin(pi t) where v is in meters per second and t is in seconds. Determine the net change in distance of the object from time t=0 to time t=6 seconds and find …

More Similar Questions