8 min read•december 26, 2021

⛔STOP!⛔ Before you look at the answers make sure you gave this practice quiz a try so you can assess your understanding of the concepts covered in unit 1. Click here for the practice questions:** **__AP Physics C: Mech Unit 1 Multiple Choice Questions__**.**

**1. Two objects are released off of a building from the same height. Object A is dropped and hits the ground in time t. Object B is thrown upward with a velocity of v0 and hits the ground in a time 3t. Assume air resistance is negligible, write an expression for v0.**

B. 16.3t

C. 4.9t^2

D. 49t^2 + 3t

📄 **Study AP Physics C: Mech, Unit 1.1: ****Motion in One Dimension**

**2. The speed of a toy car moving on a straight track is given by the following equation: v = 0.5(t^2) + 4t. In this equation, velocity is in centimeters per second and time is in seconds. What is the acceleration of the toy car at t = 5 seconds?**

B. 18 cm/s^2

C. 32.5 cm/s^2

D. 71 cm/s^2

📄 **Study AP Physics C: Mech, Unit 1.1: ****Motion in One Dimension**

**3. An object’s velocity is described by the function v = 2kt m/s, where t is in seconds and k is a constant. The object’s position is x = 58m when t = 4s. At t = 0s, the object is at x = 10m. What is the value of k?**

A. 2

C. 3.6

D. 12

📄 **Study AP Physics C: Mech, Unit 1.1: ****Motion in One Dimension**

**4. A cannonball is shot vertically upward with a positive initial velocity. At the max height of the cannonball, which of the following statements are true? Air resistance is negligible.**

A. The acceleration of the cannonball is positive.

B. The velocity of the cannonball is positive.

C. The velocity of the cannonball is negative.

📄 **Study AP Physics C: Mech, Unit 1.1: ****Motion in One Dimension**

**5. A Tesla Model S accelerates from 0 mph to 60 mph in 2.4 seconds. Assuming a constant acceleration, how far long does it take for a Tesla to reach 100 mph?**

A. 3.2 seconds

C. 4.8 seconds

D. 5.4 seconds

📄 **Study AP Physics C: Mech, Unit 1.1: ****Motion in One Dimension**

**6. A paddle boat driver is trying to go east across a river to get directly to the other side. The paddle boat driver can travel at a max speed of 5 m/s, and the river flows at a rate of 2m/s north to south. At what angle should the paddle boat point in order to land directly across the river?**

A. 23.6 degrees

B. 66.4 degrees

D. 203.6 degrees

📄 **Study AP Physics C: Mech, Unit 1.1: ****Motion in One Dimension**

**7. A physics student rolls a ball horizontally from a second floor classroom window that is 20 meters off of the ground. What is an appropriate expression for the range of the ball?**

A. v0

B. 0.5v0

D. 2v0 + 19.6

📄 **Study AP Physics C: Mech, Unit 1.2: ****Motion in Two Dimensions**

**8. A helicopter drops a relief package as it moves with a constant horizontal velocity v. Assuming there is no air resistance, where is the package relative to the helicopter when it hits the ground?**

B. Behind the helicopter

C. In front of the helicopter

D. Not enough information to tell

📄 **Study AP Physics C: Mech, Unit 1.1: ****Motion in One Dimension**

**9. The x- and y- coordinates of a particle in motion, as a function of time, are given:**

**x = t^2 - t + 1 and y = t^3 -2(t^2) - 3.**

**What is the magnitude of the particle's velocity at 2 seconds?**

A. 3 m/s

B. 4 m/s

C. 4.25 m/s

📄 **Study AP Physics C: Mech, Unit 1.1: ****Motion in One Dimension**

**10. A daredevil is launched with an initial velocity of 8 meters per second from the ground level at an angle of 37° above the horizontal. What are the horizontal and vertical components of the daredevil’s velocity as it is launched? Assume no air resistance.**

A. Horizontal = 0.08 m/s, Vertical = 0.1 m/s

C. Horizontal = 4.8 m/s, Vertical = 6.4 m/s

D. Horizontal = 8m/s, Vertical = 8 m/s

📄 **Study AP Physics C: Mech, Unit 1.2: ****Motion in Two Dimensions**

**11. A ball is launched with an initial velocity of 4 m/s off of a 100 meter tall building at an angle of 53° above the horizontal. What are the horizontal and vertical components of the ball's velocity at its maximum height? Assume no air resistance.**

A. Horizontal = 0 m/s, Vertical = 3.2 m/s

C. Horizontal = 2.4 m/s, Vertical = 3.2 m/s

D. Horizontal = 4 m/s, Vertical = 0 m/s

📄 **Study AP Physics C: Mech, Unit 1.2: ****Motion in Two Dimensions**

**12. The x and y components of an object's acceleration are given in the functions below:**

**ax = -2t + 6 and ay = 4t**

**Assuming that the object's initial velocity was zero, find the magnitude of the object's velocity at t = 2 seconds.**

B. 8 m/s

C. 8.25 m/s

D. 64 m/s

**13. A car accelerates in a straight line modeled by the function a = -8t. At time t = 0 m/s, the car’s velocity is 20 m/s in the positive direction. At what time is the car’s instantaneous velocity equal to zero?**

A. 0 seconds

B. 1.32 seconds

D. 5 seconds

**14. A physics student rolls a ball off of a 30m building in the direction of the target that lies flat on the ground. If the target is 16 m from the side of the building, and air resistance is negligible, with what horizontal speed must the ball leave the top of the building if it is to land on the target?**

B. 9.2 m/s

C. 40 m/s

D. 97.8 m/s

**15. Assuming no air resistance, an object dropped on Earth experiences a constant acceleration of about -9.8m/s^2. Which of the following statements are true?**

A. This means that the object’s velocity as it falls is 9.8 m/s.

B. This means that the object covers 9.8 m each second that it falls.

C. This means that the object covers 9.8 meters during the first second of its fall.

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