(a)
The time taken for the car to reach the velocity of
(a)
Answer to Problem 4SP
The time taken for the car to reach the velocity of
Explanation of Solution
Given info: Initial velocity of the car is
Write the expression for Newton’s equation of motion.
Here,
v is the final velocity
t is the initial time
a is the acceleration
Re-write the above equation to get t.
Substitute
Conclusion:
Therefore, the time taken for the car to reach the velocity of
(b)
The distance covered by the car.
(b)
Answer to Problem 4SP
The distance covered by the car is
Explanation of Solution
Given info: Initial velocity of the car is
Write the expression for distance travelled.
Here,
Substitute
Conclusion:
Therefore, the distance covered by the car is
(c)
The graph of distance versus time.
(c)
Answer to Problem 4SP
The distance is plotted against time in the graph.
Explanation of Solution
Write the expression for distance.
At 0s,
Substitute 0s for t,
At 1s,
Substitute 1s for t,
At 2s,
Substitute 2s for t,
At 3s,
Substitute 3s for t,
At 4s,
Substitute 4s for t,
At 5s,
Substitute 5s for t,
At 6s,
Substitute 6s for t,
At 7s,
Substitute 7s for t,
At 8s,
Substitute 8s for t,
The above values are plotted in the below graph.
Figure 1
Conclusion:
Distance is plotted against time in the graph.
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