Question: 1an object moving in a straight line has a velocity...

1.An object moving in a straight line has a velocity V (meters / second) given by:

The object initially has a displacement of -5 m from 0.

Find  

• 1. the time when velocity is zero 
• 2. the displacement when velocity is zero 
• 3.the acceleration equation
• 4. the acceleration when the velocity is zero 
• 5. the velocity when acceleration is 36m/s²

^2.

This is a side view of a symmetrical skating ramp which has a parabola shape given by the following:

A  and B is where the skater can launch off the platforms to skate down the ramp to V

 (Show all working out on paper)

• 1. How high is the platform at A? 
• 2. Calculate minimum point at V   
• 3. How high is point V off the ground? 
• 4. What is the total area of the shaded part, include areas under the curve and the area under the 2 platforms? 
• 5. If each square meters cost, $10.80 to paint, how much would it cost to paint the whole shaded side of the ramp? Express in dollars and cents

 

please with working out