Part (a) True or False: the acceleration of the car is constant? MultipleChoice : 1) True 2) False Part (b) Find the acceleration, in meters per square second, in the x-direction at t1 = 0.95 sec. Numeric : A numeric value is expected and not an expression. a(t1) =, Part (c) Find the acceleration, in meters per square second, in the x-direction at t = 1.5 sec. Numeric A numeric value is expected and not an expression. a(t2) =

College Physics
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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can you please do (a),  (b) and (c)? 

**Problem 2:**

A car moves on a straight road such that its position from a reference point is given by the following function:

\[ x(t) = 3 + 5t + 2t^2 + 0.4t^3, \, y(t) = 0, \, z(t) = 0 \]

where \( t \) is in seconds and \( x \) in meters.

---

**Part (a)** True or False: the acceleration of the car is constant?

**Multiple Choice**:

1) True  
2) False  

---

**Part (b)** Find the acceleration, in meters per square second, in the x-direction at \( t_1 = 0.95 \) sec.  
**Numeric**: A numeric value is expected and not an expression.  

\( a(t_1) = \) ________________________

---

**Part (c)** Find the acceleration, in meters per square second, in the x-direction at \( t = 1.5 \) sec.  
**Numeric**: A numeric value is expected and not an expression.  

\( a(t_2) = \) ________________________

---

**Part (d)** Find the average velocity, in meters per second, in the x-direction between \( t_1 = 0.95 \) s and \( t_2 = 1.5 \) s.  
**Numeric**: A numeric value is expected and not an expression.  

\( v_{ave} = \) ________________________

---

**Part (e)** Find the average acceleration, in meters per second squared, in the x-direction between \( t_1 = 0.95 \) s and \( t_2 = 1.5 \) s.  
**Numeric**: A numeric value is expected and not an expression.  

\( a_{ave} = \) ________________________
Transcribed Image Text:**Problem 2:** A car moves on a straight road such that its position from a reference point is given by the following function: \[ x(t) = 3 + 5t + 2t^2 + 0.4t^3, \, y(t) = 0, \, z(t) = 0 \] where \( t \) is in seconds and \( x \) in meters. --- **Part (a)** True or False: the acceleration of the car is constant? **Multiple Choice**: 1) True 2) False --- **Part (b)** Find the acceleration, in meters per square second, in the x-direction at \( t_1 = 0.95 \) sec. **Numeric**: A numeric value is expected and not an expression. \( a(t_1) = \) ________________________ --- **Part (c)** Find the acceleration, in meters per square second, in the x-direction at \( t = 1.5 \) sec. **Numeric**: A numeric value is expected and not an expression. \( a(t_2) = \) ________________________ --- **Part (d)** Find the average velocity, in meters per second, in the x-direction between \( t_1 = 0.95 \) s and \( t_2 = 1.5 \) s. **Numeric**: A numeric value is expected and not an expression. \( v_{ave} = \) ________________________ --- **Part (e)** Find the average acceleration, in meters per second squared, in the x-direction between \( t_1 = 0.95 \) s and \( t_2 = 1.5 \) s. **Numeric**: A numeric value is expected and not an expression. \( a_{ave} = \) ________________________
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