### Problem StatementA 3.0 kg toy car can move along an x-axis. The figure gives \( F_x \) of the force acting on the car, which begins at rest at time \( t = 0 \). The scale on the \( F_x \) axis is set by \( F_{xs} = 3.0 \, \text{N} \). In unit-vector notation, what is \( \vec{P} \) at:- (a) \( t = 9.0 \, \text{s} \)- (b) \( t = 5.0 \, \text{s} \)- (c) what is \( \vec{v} \) at \( t = 3.0 \, \text{s} \)?### Graph ExplanationThe graph on the right shows \( F_x \) (in Newtons) plotted against time \( t \) (in seconds). The force \( F_x \) varies with time as follows:- From \( t = 0 \) to \( t = 2 \, \text{s} \), \( F_x \) increases linearly.- From \( t = 2 \, \text{s} \) to \( t = 4 \, \text{s} \), \( F_x \) remains constant.- From \( t = 4 \, \text{s} \) to \( t = 6 \, \text{s} \), \( F_x \) decreases linearly.- From \( t = 6 \, \text{s} \) to \( t = 8 \, \text{s} \), \( F_x \) becomes negative, indicating a reversal of the direction of force.### Solution FormRespond with the values for \( \vec{P} \) and \( \vec{v} \) in the following format:- (a) Number [input box] \( \hat{i} \) + Number [input box] \( \hat{j} \) + Number [input box] \( \hat{k} \) [Units dropdown]- (b) Number [input box] \( \hat{i} \) + Number [input box] \( \hat{j} \) + Number [input box] \( \hat{k} \) [Units dropdown]- (c) Number [input box] \( \hat{i

Name: ### Problem StatementA 3.0 kg toy car can move along an x-axis. The f
Uploaded: 2024-03-20T06:57:57.000Z
Channel: Bartleby
Description: ### Problem StatementA 3.0 kg toy car can move along an x-axis. The figure gives \( F_x \) of the force acting on the car, which begins at rest at time \( t = 0 \). The scale on the \( F_x \) axis is set by \( F_{xs} = 3.0 \, \text{N} \). In unit-ve