H Physics LT3

A friend kicks a soccer ball into the air with an initial velocity \( \mathbf{v} = (9.0 \text{m/s})\hat{i} + (18 \text{m/s})\hat{j} \). What is the hangtime for the ball?

• 3.67 s

• 2.45 s

• 1.84 s

• 4.12 s

A friend kicks a soccer ball into the air with an initial velocity \( \mathbf{v} = (9.0 \text{m/s})\hat{i} + (18 \text{m/s})\hat{j} \). What is the maximum vertical height reached by the ball?

• 16.5 m

• 8.2 m

• 12.9 m

• 5.4 m

You slide a plate on the countertop, and it flies off the end. If the countertop is 1.05 m above the floor and the plate leaves the top at 0.74 m/s, how long does it take to fall?

• 0.46 s

• 0.32 s

• 0.21 s

• 0.15 s

You slide a plate on the countertop, and it flies off the end. If the countertop is 1.05 m above the floor and the plate leaves the top at 0.74 m/s, how far from the end of the counter does it land?

• 0.34 m

• 0.15 m

• 0.21 m

• 0.46 m

What is the magnitude of the resultant vector from the sum of \( \mathbf{v_1} = (6.0 \text{m/s})\hat{i} + (-3.0 \text{m/s})\hat{j} \) and \( \mathbf{v_2} = (4.0 \text{m/s})\hat{i} + (-8.0 \text{m/s})\hat{j} \)?

• 14.9 m/s

• 12.2 m/s

• 11.4 m/s

• 9.8 m/s

Lucy and her friend are working at an assembly plant making wooden toy giraffes. At the end of the line, the giraffes go horizontally off the edge of a conveyor belt and fall into a box below. If the box is 0.60 m below the level of the conveyor belt and 0.40 m away from it, what must be the horizontal velocity of giraffes as they leave the conveyor belt?

• 1.0 m/s

• 2.0 m/s

• 3.0 m/s

• 4.0 m/s

A runner moving at a speed of 8.8 m/s rounds a bend with a radius of 25 m. What is the centripetal acceleration of the runner?

• 2.5 m/s²

• 3.1 m/s²

• 3.5 m/s²

• 4.0 m/s²

An airplane traveling at 201 m/s makes a turn. What is the smallest radius of the circular path (in kilometers) the pilot can make and keep the centripetal acceleration at 5.0 m/s²?

• 6.0 km

• 8.1 km

• 10.0 km

• 12.1 km

At what point is v_y= 0 m/s?

• A

• B

• C

• D

• None of these points

What is the horizontal acceleration of a projectile?

• 0 m/s²
• 9.8 m/s²
• 4.9 m/s²
• -9.8 m/s²