3A car moves in a straight line with velocity v(t) = 1.9t+0.5. a. What is the car's initial velocity? What is its acceleration?
b. What does the v vs. t graph look like for the first 10 seconds of its motion?
c. What does the a vs. t graph look like for the first 10 seconds of its motion?
d. How far has the car traveled after 7 seconds?
e. What does the x vs. t graph look like for the first 10 seconds of its motion?

Use the profile illustrated for problem (1). assume that the layer of silty sand fill (sm) is placed over the entire site. estimate the thickness of the fill (h - in feet) that will cause the effective vertical stress at the center of the clay layer to increase by 517.5 pounds per square foot.

Auniform crate c with mass mc is being transported to the left by a forklift with a constant speed v1. what is the magnitude of the angular momentum of the crate about point a, that is, the point of contact between the front tire of the forklift and the ground

Simon is writing a story about an astronaut whose spacecraft has been boarded by space pirates. the astronaut has her lucky penny in her hand behind her back as the space pirates break into the control room. she has just locked the controls so that the ship is accelerating in the direction of the control room’s ceiling. simon wants the astronaut to use the penny to hit a button on the control panel to turn off the lights and escape. the button is located a short distance behind and below the astronaut’s hands. how should simon use the theory of relativity to describe what the astronaut must do in order to hit the button?