Chapter 2, Problem 50P

We are standing on the top of a 1040 feet tall building and launch a small object upward. The object's height, measured in feet, after t seconds is h(t) = 16t? + 128t + 1040. A) What is the object initial velocity? ft/second B) What is the highest point that the object reaches? feet

A student holds a ball 1.55 meters above the ground and drops it. Her friend uses a stopwatch and measures a time of 0.57 seconds for the ball to hit the ground. The ball accelerates due to gravity. Using the equation y = 1/2??2  where y is the height, to compute g , calculate the acceleration of the ball.

Pedro is driving a motorcycle along Espana boulevard. His position  (in meters) at any given time  is given by . x(t)=1.124t^2 +6.022. His speed at ten seconds is   m/s. His acceleration at ten seconds is   m/s2. Marites is also driving her motorcycle along Espana. Her position function is of the form . What is the coefficient  if her acceleration at ten seconds is 2.04 m/s2?   m/s4

A girl is standing at the edge of a cliff 100. m above the ground. She reaches out over the edge of the cliff and throws a rock straight upward with a speed 8.00 m/s. a) How long does it take the rock to hit the ground? b) What is the speed of the rock the instant before it hits the ground?  Please type answer

Pedro is driving a motorcycle along Espana boulevard. His position  (in meters) at any given time  is given by x(t) = 1.124t2 + 6.022 .  Pedro's initial position is   m. His position at ten seconds is   m. His speed at ten seconds is   m/s. His acceleration at ten seconds is   m/s2.   Marites is also driving her motorcycle along Espana. Her position function is of the form . What is the coefficient  if her acceleration at ten seconds is 2.04 m/s2?   m/s4

A girl is standing at the edge of a cliff 100. m above the ground. She reaches out over the edge of the cliff and throws a rock straight upward with a speed 8.00 m/s. a) How long does it take the rock to hit the ground? b) What is the speed of the rock the instant before it hits the ground?

At time t=0 a stone is dropped from a bridge.  Δt=1.1 s later a second stone is thrown down.  Both stones hit the ground 40 meters below the bridge at the same time.  What was the initial velocity of the second stone? Use g = 10m/s/s and answer to the 0.1 m/s.

At time t0=0.0s, a car, starting from rest, moves south. It continues moving south, and by time tf =121s, it has covered a distance of d=6689m. Take north as the positive x direction, as indicated in the figure. Part A: What is the car's average speed, in meters per second, during this period?  Part B: What is the car's displacement, in meters, during this period?  Part C: What is the car's average velocity, in meters per second, during this period?  Part D: A different car, after starting from rest at t0 =0.0s, travels for the same period, tf =121s, attaining a final velocity of vf =−30.0m/s. What is this car's average acceleration, in meters per squared seconds, during the period described?

A toy rocket moving vertically upward passes by a 1.8 m -high window whose sill is 7.0 m above the ground. The rocket takes 0.16 s to travel the 1.8 m height of the window. a) What was the launch speed of the rocket? Assume the propellant is burned very quickly at blastoff. b) How high will the rocket go?