Question

Give me atleast 10 question based on equation of motion





Level class- 9
Pls. Give easy questions
And solution also if you are able

Answer 1

Exercise 1
Amminder is driving a car at 120 km/hr along a straight highway when he sees an accident ahead and must hit the brakes to stop the car in 50 m. He managed to stop the car.
a. What was the acceleration of the car?

Exercise 2
A bicycle goes from rest to 36 km/hr in 4 minutes, maintains speed for 5 minutes then slows down to 18 km/hr in 1 minute. Convert km/hr to m/s and minutes to seconds.
Sketch a vx versus t graph for the motion.
What was the acceleration of the bike for
0 < t < 4 min?
4 < t < 9 min?
9 < t < 10 min?
0 < t < 10 min?
How far did it travel in the 10 minutes?
What was its average velocity for the 90 minutes?

Exercise 3
Joe the race driver makes a pit-stop to refuel. After refueling, he pulls out with an acceleration of 6 m/s2. 4 s later, he re-enters the main track and is overtaken by Ralf driving his car at constant speed of 80 m/s.
a. Assuming that Joe maintains the constant acceleration, when and where will his velocity be the same as the velocity of Ralf's car?
b. When and where will Joe pass Ralf?

Exercise 4
A car has an initial velocity of 20 m/s and an acceleration of . Find its average velocity in the time interval in which its displacement is 30 m from its initial position.

Exercise 5
A bus slows with constant acceleration from 24 m/s to 16 m/s and moves 50 m in the process. (a) How much farther does it travel before coming to a stop? (b) How long does it take to stop from 24 m/s?

Exercise 6
A truck starts from rest and accelerates at . Ten seconds later, a car accelerates from rest at the same point with an acceleration of . Where and when does the car catch the truck? What are their velocities when they meet?

Exercise 7
Cedric‘s car is stopped at a red light. Just as the light changes, Stephanie passes him on a bicycle at a constant speed of 8 m/s. Cedric floors the gas pedal to catch her but he must not exceed the speed limit of 14 m/s.
a. Sketch the - t graph of the motion.
b. When the car and the bike have the same velocity?
c. When and where Cedric catches up with Stephanie?
d. Use the - t graph to draw an x - t graph that shows the position of both the bike and the car.
e. Show on the x - t graph where the car catches the bike.
Solution:
a. The - t graph shows the motion of both the bike and the car.
b. The question is when Cedric has the velocity of 8 m/s. We can deduce his acceleration during the first 14 s from the slope of the vx - t graph. We find that he accelerates at 1 m/s2. Given that he gains 1 m/s every second we can conclude that he will have the same velocity as Stephanie in 8 s.
c. Cedric will catch up with Stephanie when they both have the same displacement. The displacement is the area under the graph. The inspection of the area of the bluish tringle (Cedric's displacement while he accelerates) is smaller than the rectangle under Stephanie's graph. It looks like that Cedric will have to travel some time t before he catches up with Stephanie. Cedric accelerates for 14 s and moves the distance ½ × 14 × 14 = 98 m. He then moves at 14 m/s for t - 14 s. His total displacement is
98 + 14 (t - 14).
In the meantime, Stephanie always moves at 8 m/s for t seconds and so her displacement is 8 t. Now we are ready to write an equation that equates the two displacements:
8 t = 98 + 14 (t - 14)
Solving for t we find
8 t = 98 + 14 t - 196
- 6 t = - 98
t = 16.3 s
This means that Cedric catches up with Strephanie
d. To plot the graph we construct the table
t(s)
4 32 8
8 64 32
12 96 72
16 128 126
20 162 182
e.
The red hollow circle in the graph indicates that Cedric caught up with Stephanie 130.4 m from the red light.