1. a soccer ball is kicked at an upward angle θ between 0° and 90°. its initial vertical (y) velocity vy0 is 19.6 m/s. it follows a parabolic trajectory and lands at the end of its range. c. if the ball’s range is 60 m, is the angle θ less than, equal to, or greater than 45°? 2. a small toy car is placed upon a ramp that is 2 m long. the car is released (with zero initial velocity) from the top of the ramp. assume that friction is negligible.(aramp= 1 m/s2) how high is the top if the car takes 2.0 s to reach the bottom?

Heena wants to measure the volume of a ball that is 24 cm across. how should she set up her equation?

Askydiver weighing 140 lb (including equipment) falls vertically downward from an altitude of 19,000 ft and opens the parachute after 18 s of free fall. assume that the force of air resistance, which is directed opposite to the velocity, is of magnitude 0.55|v| when the parachute is closed and is of magnitude 14|v| when the parachute is open, where the velocity v is measured in ft/s. assume that acceleration due to gravity has magnitude 32 ft/s/s; remember that weight is the product of mass and gravitational acceleration. (a) find the speed of the skydiver when the parachute opens. (b) find the distance fallen before the parachute opens. (c) what is the limiting velocity vl after the parachute opens? (d) determine how long the sky diver is in the air after the parachute opens. (e) plot the graph of velocity versus time from the beginning of the fall until the skydiver reaches the ground.

Using the free-body diagram, calculate the net force acting on the sled. is the sled in a state of dynamic equilibrium?