Question

1. an object accelerates from 0 m/s to 10 m/s in 50 seconds. calculate the acceleration and complete the graph.

Explanation:

Step1: Recall acceleration formula

The formula for acceleration \( a \) is \( a=\frac{v - u}{t} \), where \( v \) is final velocity, \( u \) is initial velocity, and \( t \) is time.
Here, \( u = 0\space m/s \), \( v = 10\space m/s \), \( t = 50\space s \).

Step2: Substitute values into formula

Substitute \( u = 0 \), \( v = 10 \), and \( t = 50 \) into the formula:
\( a=\frac{10 - 0}{50} \)

Step3: Calculate acceleration

Simplify the expression: \( a=\frac{10}{50}=0.2\space m/s^{2} \)

For the graph (assuming it's a velocity - time graph):

• The initial point is at \( (0, 0) \) (time \( t = 0 \), velocity \( v = 0 \)).
• The final point is at \( (50, 10) \) (time \( t = 50\space s \), velocity \( v = 10\space m/s \)).
• Draw a straight line connecting these two points since the acceleration is constant (uniform acceleration).

Answer:

The acceleration of the object is \( 0.2\space m/s^{2} \). To complete the velocity - time graph, plot the points \( (0, 0) \) and \( (50, 10) \) and draw a straight line between them.