Fall Final Review 1

Tags

NGSS.MS-PS2-2

Starting from one shore, you row a boat across a narrow river to the shore on the other side. The river is 35.0 m wide. As you row, the river current causes your boat to move down the river a distance of 50.0 m. What is the resultant displacement of your boat? Determine the magnitude of the displacement.

• 35.0 m

• 61.0 m

• 85.0 m

• 1,225 m

Starting from one shore, you row a boat across a narrow river to the other shore. The river is 35.0 m wide. As you row, the river current causes your boat to move down the river a distance of 45.0 m. What is the resultant displacement of your boat? Determine the magnitude of the displacement.

• 325 m

• 45.4 m

• 35.6 m

• 57.0 m

Tags

NGSS.MS-PS2-5

A person rows a canoe across a river that is 45.0 m wide. Using the GPS on her phone, she determines the resultant displacement is 61.0 m. How far down the river did the current move her canoe?

• 6.7 m

• 16.0 m

• 41.2 m

• 106 m

At a stunt show, a motorcycle rider launches off a ramp with an initial horizontal velocity of 30 m/s and an initial vertical velocity of 20 m/s. Neglecting air resistance, what is the range of the jump?

• 61.2 m

• 122.4 m

• 183.6 m

• 244.8 m

Answer explanation

To find the range, use the formula: Range = (initial velocity in x) * (time of flight). Time of flight = (2 * initial velocity in y) / g = (2 * 20 m/s) / 9.81 m/s² ≈ 4.08 s. Thus, Range = 30 m/s * 4.08 s ≈ 122.4 m.

A soccer player kicks a ball with an initial vertical velocity of 15 m/s and an initial horizontal velocity of 8 m/s. What is the hang time of the ball?

• 1.5 s

• 3.0 s

• 4.5 s

• 6.0 s

Answer explanation

To find the hang time, use the vertical motion formula. The time to reach the peak is 15 m/s ÷ 9.8 m/s² ≈ 1.53 s. The total hang time is double this, approximately 3.06 s, rounding to 3.0 s.

Tags

NGSS.MS-PS2-4

NGSS.MS-PS3-1

NGSS.MS-PS3-5

A baseball is thrown horizontally off a 45.0-m high stadium wall and lands a distance of 60.0 m from the base of the wall. Determine the time it takes for the baseball to hit the ground.

• 3.03 s

• 9.18 s

• 4.12 s

• 2.10 s

Answer explanation

To find the time, use the formula for free fall: h = 0.5 * g * t^2. Here, h = 45.0 m and g = 9.81 m/s². Solving for t gives t ≈ 3.03 s, confirming the correct answer is 3.03 s.

A toy car rolls off a 1.2-m high ramp with a horizontal velocity of 4 m/s. If it takes 0.50 s to hit the ground, what is the horizontal distance it travels?

• 3.0 m

• 4.0 m

• 1.5 m

• 2.0 m

Answer explanation

To find the horizontal distance, use the formula: distance = velocity × time. Here, distance = 4 m/s × 0.50 s = 2.0 m. Thus, the correct answer is 2.0 m.

Tags

NGSS.MS-PS2-4