Guys I am trying to teach myself calculus, and I have stumbled across these manuals my dad had and there are a few problem series that I need help with.

Any suggestions or direction to help outside the forum is appreciated.

1) Suppose a body "A" does not begin at rest, but instead starts with an initial velocity of 10 meters per second downward at the point B at time t=0. Again let s be the distance AB. Use calculus to show that

(a) if the acceleration is equal to a constant g=9.8 meters per second per second, then

s= 10t + 4.9t^2

(b) if s= 10t + 4.9 t^2, then the acceleration is equal to 9.8meters per second per second and the velocity

v=10 + 9.8t

2) Suppose that the body begins at a position 1 meter above the point B with an upward velocity of 15 meters per second. Find an equation for s in terms of t.

3) Suppose that the body begins at rest at the point B , but now suppose that the force is not constant. Instead, suppose that the body is acted on by a force causing a downward acceleration

a=2t + 1

Find an equation for s in terms of t

4) Suppose that acceleration is given by the equation

a= sin t

(a) If the body begins at point B at rest at ti t=0, find an equation for s in terms of t

(b) If the body begins at point B with a downward velocity of 5 meters per second, find an equation for s in terms of t.

Hey can you help me deriving these equations?

Suppose a body "A" does not begin at rest, but instead starts with an initial velocity of 10 meters per second downward at the point B at time t=0. Again let s be the distance AB. Use calculus to show that

(a) if the acceleration is equal to a constant g=9.8 meters per second per second, then

s= 10t + 4.9t^2

(b) if s= 10t + 4.9 t^2, then the acceleration is equal to 9.8meters per second per second and the velocity

v=10 + 9.8t

2) Suppose that the body begins at a position 1 meter above the point B with an upward velocity of 15 meters per second. Find an equation for s in terms of t.

3) Suppose that the body begins at rest at the point B , but now suppose that the force is not constant. Instead, suppose that the body is acted on by a force causing a downward acceleration

a=2t + 1

Find an equation for s in terms of t

4) Suppose that acceleration is given by the equation

a= sin t

(a) If the body begins at point B at rest at time t=0, find an equation for s in terms of t.

(b) If the body begins at point B with a downward velocity of 5 meters per second, find an equation for s in terms of t.

Any suggestions or direction to help outside the forum is appreciated.

1) Suppose a body "A" does not begin at rest, but instead starts with an initial velocity of 10 meters per second downward at the point B at time t=0. Again let s be the distance AB. Use calculus to show that

(a) if the acceleration is equal to a constant g=9.8 meters per second per second, then

s= 10t + 4.9t^2

(b) if s= 10t + 4.9 t^2, then the acceleration is equal to 9.8meters per second per second and the velocity

v=10 + 9.8t

2) Suppose that the body begins at a position 1 meter above the point B with an upward velocity of 15 meters per second. Find an equation for s in terms of t.

3) Suppose that the body begins at rest at the point B , but now suppose that the force is not constant. Instead, suppose that the body is acted on by a force causing a downward acceleration

a=2t + 1

Find an equation for s in terms of t

4) Suppose that acceleration is given by the equation

a= sin t

(a) If the body begins at point B at rest at ti t=0, find an equation for s in terms of t

(b) If the body begins at point B with a downward velocity of 5 meters per second, find an equation for s in terms of t.

Hey can you help me deriving these equations?

Suppose a body "A" does not begin at rest, but instead starts with an initial velocity of 10 meters per second downward at the point B at time t=0. Again let s be the distance AB. Use calculus to show that

(a) if the acceleration is equal to a constant g=9.8 meters per second per second, then

s= 10t + 4.9t^2

(b) if s= 10t + 4.9 t^2, then the acceleration is equal to 9.8meters per second per second and the velocity

v=10 + 9.8t

2) Suppose that the body begins at a position 1 meter above the point B with an upward velocity of 15 meters per second. Find an equation for s in terms of t.

3) Suppose that the body begins at rest at the point B , but now suppose that the force is not constant. Instead, suppose that the body is acted on by a force causing a downward acceleration

a=2t + 1

Find an equation for s in terms of t

4) Suppose that acceleration is given by the equation

a= sin t

(a) If the body begins at point B at rest at time t=0, find an equation for s in terms of t.

(b) If the body begins at point B with a downward velocity of 5 meters per second, find an equation for s in terms of t.

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