Figure (1) represents part of the performance data of a car owned by a physics student. Calculate the total displacement travelled. What is the average velocity of the car between t = 0 and t = 18s? Calculate the total distance travelled
Task I:
Figure (1) represents part of the performance data of a car owned by a physics student.
- Calculate the total displacement travelled.
- What is the average velocity of the car between t = 0 and t = 18s?
- Calculate the total distance travelled
- What is the average speed of the car between t = 0 and t = 18s?
- What is the average acceleration of the car between t=5s to t=8s?
- Draw a graph of its acceleration versus time between t = 0 and t = 18 s for the first graph?
Figure (1)
Task II
Samir tests his new motorcycle by racing with Ahmad. Both start from rest, but Samir leaves the starting line 2.00 s after Ahmad does. Ahmad moves with a constant acceleration of 3.0 m/s2, while
Samir maintains an acceleration of 4.0m/s2. Find
- the time at which Samir overtakes Ahmad,
- the distance that Samir travels before catching Ahmad, and
- the velocity of both cars at the instant Samir overtakes Ahmad
Task III:
An attacker at the base of a castle wall 4 m high throws a rock straight up with speed 7.5 m/s from a height of 1.5 m above the ground.
- Will the rock exceed the top of the wall?
- If so, what is its speed when it reaches the top of the wall? (c) If we don’t want the stone to exceed the top of the wall (we want the top of the wall to be the maximum height) what the initial speed that the stone must have?
Task IV:
? Ammar flies a drone starting from time = 0 second and position (0, 4m) with an acceleration of ?⃑ = 2?̂ 2 −
?
? ?
4?̂ 2 and an initial velocity of ?⃑? = 6.00 ?̂ ? . Find
?
- the vector position of the particle at any time t,
- the velocity of the particle at any time t, (c) the coordinates of the particle at t = 3.00 s
Task V:
In a baseball game, the ball hits the top of a wall that is 26 m high and located at 150m away from the thrower, if the ball is hit at an angle 300 to the horizontal, assume that the ball is hit at a height of 3 m above the ground. Find : a. The initial speed of the ball
- The time it takes the ball to reach the wall
- The velocity components and the speed of the ball when it reached the wall
Task VI:
As a technical engineer in the army, you are part of a team in charge of testing and commissioning a new tank recently purchased by the artillery.
Field testing has revealed the following information:
- The tank moves from rest to a speed of 70 ??/ℎ? in 10
- Using the breaking system, the tank is brought to a complete stop from a speed of 70 ??/ℎ? in 5
You are required to address all the questions below providing all calculations, graphs, and explanations as appropriate to back your answers.
First: Motion of the tank:
- Find the average driving acceleration of the tank.
- Calculate the average breaking acceleration of the tank.
- For parts (a) and b above parts report your answers in US Customary Units (mile/hr) so that the information could be shared with experts from the US.
Second: Motion of the fired bomb:
The tank is to be placed on a hill that is 1 km high above the ground. The enemy’s base is located at a horizontal distance of 10 km away and it is in a valley 0.5 km below the ground. Air resistance is neglected. Gravitational acceleration is constant and equal to 9.8?/?2 downwards.
- If the bomb is to be fired perfectly horizontally, what should the launching speed of the bomb be in order to hit the target?
- What is the duration it would take the bomb to hit the target?
- Find x(t) and y(t). Consider the initial location of the tank to be (0, 1 km)?
- Draw the trajectory of the bomb (x and y coordinates). Indicate clearly the value of x (horizontal displacement) when the bomb reaches the ground level.
- Draw the ?(?), ??(?), and ??(?) vertical above each other. Indicate key values on the graphs such as the start, the end, the maximum, the minimum and the x and y intercepts.
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