Consider a ball thrown up from the surface of the earth into the air at an angle of 30° above the horizontal. Air resistance is negligible. Just after the ball is released, its acceleration is: a. Upwards at 9.8 m/s? b. Upwards at 4.9 m/s C. Downwards at 9.8 m/s? d. 0 m/s

. A 3.0kg cannon ball is shot from a cannon at a speed of 20m/s. The cannon is oriented50 degrees above the horizontal and the cannon’s barrel is 8.0m above the ground. Youwant to position a mat that will catch the cannon ball.a. Determine how much time the cannon ball will spend in flight.b. Draw a force diagram for three points during the cannon ball’s flight (1) while itis being shot from the cannon, (2) when it is at its maximum height, and (3) whenit is half-way between the maximum height and the mat.c. Determine the horizontal distance from the end of the barrel where you shouldplace the mat so that it will catch the ball.d. How fast is the cannon ball moving just before it hits the mat?

A roof worker loses his grip on his box of tools while working on a tall house. His box slides down the roof. The roof is angled at 29 degrees with the horizontal. The roof is made of a frictionless material. The box travels 5 m down the roof and then leaves the edge of it 12 m above the ground. a). Figure out the box's velocity as it leaves the house's roof? b). How far from the base of the house does the box hit the ground? c). By how much does the box clear the yard fence which is 1.8m tall and located 6.7m away from the base of the house? I TOOLS 5m 29° 12 m 1.8m 6-7m ENGL

m L 4. A box with a mass m = 0.4 kg is released from rest at the top of a curved section of a track that is one quarter of a circle with a radius R = 0.2m. When the box reaches the bottom of the curved track it slides on a horizontal section of the track. There is no friction on the curved section of the track. a. Find the velocity of the box at the bottom of the curved section of the track. b. Find the normal force on the block when it is at the bottom of the circular section of the ramp. If there is a Resistive force F on the horizontal section of the track and is given as a function of speed by F=-4v² c. Write down the differential equation for the speed of the block. 1 d. Show that the solution can be written as: v = 0.5 + 10t